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Ferdinand Georg Frobenius

Index Ferdinand Georg Frobenius

Ferdinand Georg Frobenius (26 October 1849 – 3 August 1917) was a German mathematician, best known for his contributions to the theory of elliptic functions, differential equations, number theory, and to group theory. [1]

46 relations: American Mathematical Society, Berlin, Character theory, Charlottenburg, Classification of finite simple groups, Comptes rendus de l'Académie des Sciences, Conjugacy class, Crelle's Journal, Cyclotomic field, Differential equation, Edmund Landau, Elliptic function, Ernst Kummer, ETH Zurich, Finite group, Frobenius group, Frobenius manifold, Frobenius matrix, Frobenius method, Galois group, Germans, Group representation, Group theory, Humboldt University of Berlin, Issai Schur, John G. Thompson, Karl Weierstrass, Konrad Knopp, Leopold Kronecker, List of things named after Ferdinand Georg Frobenius, Mathematician, Mathematics, Nilpotent group, Number theory, Padé approximant, Permutation group, Protestantism, Prussian Academy of Sciences, Ramification (mathematics), Representation theory of the symmetric group, Solvable group, Springer Science+Business Media, Sylow theorems, University of Göttingen, Walter Schnee, Zürich.

American Mathematical Society

The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.

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Berlin

Berlin is the capital and the largest city of Germany, as well as one of its 16 constituent states.

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Character theory

In mathematics, more specifically in group theory, the character of a group representation is a function on the group that associates to each group element the trace of the corresponding matrix.

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Charlottenburg

Charlottenburg is an affluent locality of Berlin within the borough of Charlottenburg-Wilmersdorf.

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Classification of finite simple groups

In mathematics, the classification of the finite simple groups is a theorem stating that every finite simple group belongs to one of four broad classes described below.

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Comptes rendus de l'Académie des Sciences

Comptes rendus de l'Académie des Sciences (English: Proceedings of the Academy of sciences), or simply Comptes rendus, is a French scientific journal which has been published since 1666.

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Conjugacy class

In mathematics, especially group theory, the elements of any group may be partitioned into conjugacy classes; members of the same conjugacy class share many properties, and study of conjugacy classes of non-abelian groups reveals many important features of their structure.

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Crelle's Journal

Crelle's Journal, or just Crelle, is the common name for a mathematics journal, the Journal für die reine und angewandte Mathematik (in English: Journal for Pure and Applied Mathematics).

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Cyclotomic field

In number theory, a cyclotomic field is a number field obtained by adjoining a complex primitive root of unity to, the field of rational numbers.

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Differential equation

A differential equation is a mathematical equation that relates some function with its derivatives.

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Edmund Landau

Edmund Georg Hermann Landau (14 February 1877 – 19 February 1938) was a German mathematician who worked in the fields of number theory and complex analysis.

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Elliptic function

In complex analysis, an elliptic function is a meromorphic function that is periodic in two directions.

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Ernst Kummer

Ernst Eduard Kummer (29 January 1810 – 14 May 1893) was a German mathematician.

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ETH Zurich

ETH Zurich (Swiss Federal Institute of Technology in Zurich; Eidgenössische Technische Hochschule Zürich) is a science, technology, engineering and mathematics STEM university in the city of Zürich, Switzerland.

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Finite group

In abstract algebra, a finite group is a mathematical group with a finite number of elements.

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Frobenius group

In mathematics, a Frobenius group is a transitive permutation group on a finite set, such that no non-trivial element fixes more than one point and some non-trivial element fixes a point.

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Frobenius manifold

In the mathematical field of differential geometry, a Frobenius manifold, introduced by Dubrovin, is a flat Riemannian manifold with a certain compatible multiplicative structure on the tangent space.

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Frobenius matrix

A Frobenius matrix is a special kind of square matrix from numerical mathematics.

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Frobenius method

In mathematics, the method of Frobenius, named after Ferdinand Georg Frobenius, is a way to find an infinite series solution for a second-order ordinary differential equation of the form with in the vicinity of the regular singular point z.

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Galois group

In mathematics, more specifically in the area of abstract algebra known as Galois theory, the Galois group of a certain type of field extension is a specific group associated with the field extension.

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Germans

Germans (Deutsche) are a Germanic ethnic group native to Central Europe, who share a common German ancestry, culture and history.

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Group representation

In the mathematical field of representation theory, group representations describe abstract groups in terms of linear transformations of vector spaces; in particular, they can be used to represent group elements as matrices so that the group operation can be represented by matrix multiplication.

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Group theory

In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.

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Humboldt University of Berlin

The Humboldt University of Berlin (Humboldt-Universität zu Berlin, abbreviated HU Berlin), is a university in the central borough of Mitte in Berlin, Germany.

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Issai Schur

Issai Schur (January 10, 1875 – January 10, 1941) was a Russian mathematician who worked in Germany for most of his life.

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John G. Thompson

John Griggs Thompson (born October 13, 1932) is a mathematician at the University of Florida noted for his work in the field of finite groups.

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Karl Weierstrass

Karl Theodor Wilhelm Weierstrass (Weierstraß; 31 October 1815 – 19 February 1897) was a German mathematician often cited as the "father of modern analysis".

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Konrad Knopp

Konrad Hermann Theodor Knopp (22 July 1882 – 20 April 1957) was a German mathematician who worked on generalized limits and complex functions.

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Leopold Kronecker

Leopold Kronecker (7 December 1823 – 29 December 1891) was a German mathematician who worked on number theory, algebra and logic.

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List of things named after Ferdinand Georg Frobenius

These are things named after Ferdinand Georg Frobenius, a German mathematician.

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Mathematician

A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Nilpotent group

A nilpotent group G is a group that has an upper central series that terminates with G. Provably equivalent definitions include a group that has a central series of finite length or a lower central series that terminates with.

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Number theory

Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.

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Padé approximant

In mathematics a Padé approximant is the 'best' approximation of a function by a rational function of given order – under this technique, the approximant's power series agrees with the power series of the function it is approximating.

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Permutation group

In mathematics, a permutation group is a group G whose elements are permutations of a given set M and whose group operation is the composition of permutations in G (which are thought of as bijective functions from the set M to itself).

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Protestantism

Protestantism is the second largest form of Christianity with collectively more than 900 million adherents worldwide or nearly 40% of all Christians.

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Prussian Academy of Sciences

The Royal Prussian Academy of Sciences (Königlich-Preußische Akademie der Wissenschaften) was an academy established in Berlin, Germany on 11 July 1700, four years after the Akademie der Künste, or "Arts Academy," to which "Berlin Academy" may also refer.

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Ramification (mathematics)

In geometry, ramification is 'branching out', in the way that the square root function, for complex numbers, can be seen to have two branches differing in sign.

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Representation theory of the symmetric group

In mathematics, the representation theory of the symmetric group is a particular case of the representation theory of finite groups, for which a concrete and detailed theory can be obtained.

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Solvable group

In mathematics, more specifically in the field of group theory, a solvable group or soluble group is a group that can be constructed from abelian groups using extensions.

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Springer Science+Business Media

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

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Sylow theorems

In mathematics, specifically in the field of finite group theory, the Sylow theorems are a collection of theorems named after the Norwegian mathematician Ludwig Sylow (1872) that give detailed information about the number of subgroups of fixed order that a given finite group contains.

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University of Göttingen

The University of Göttingen (Georg-August-Universität Göttingen, GAU, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany.

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Walter Schnee

Walter Schnee (8 August 1885 in Rawitsch, now Rawicz – 10 June 1958 in Leipzig) was a German mathematician.

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Zürich

Zürich or Zurich is the largest city in Switzerland and the capital of the canton of Zürich.

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Redirects here:

F. G. Frobenius, Ferdinand georg frobenius, Georg Ferdinand Frobenius, Georg Frobenius.

References

[1] https://en.wikipedia.org/wiki/Ferdinand_Georg_Frobenius

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