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Emmy Noether and List of group theory topics

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Emmy Noether and List of group theory topics

Emmy Noether vs. List of group theory topics

The differences between Emmy Noether and List of group theory topics are not available.

Similarities between Emmy Noether and List of group theory topics

Emmy Noether and List of group theory topics have 40 things in common (in Unionpedia): Algebraic geometry, Algebraic topology, Arthur Cayley, Associative property, Automorphism, Évariste Galois, Commutative property, Cyclic group, David Hilbert, Felix Klein, Field (mathematics), Galois group, Galois theory, General linear group, Geometry, Group representation, Hans Fitting, Homology (mathematics), Identity element, Integer, Isomorphism theorems, Matrix (mathematics), Modular arithmetic, Module (mathematics), Multiplicative inverse, Permutation, Permutation group, Prime number, Quaternion, Quotient group, ..., Real number, Representation theory, Richard Brauer, Richard Dedekind, Ring (mathematics), Special linear group, Subgroup, Symmetric group, Symmetry (physics), Vector space. Expand index (10 more) »

Algebraic geometry

Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials.

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Algebraic topology

Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces.

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Arthur Cayley

Arthur Cayley F.R.S. (16 August 1821 – 26 January 1895) was a British mathematician.

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Associative property

In mathematics, the associative property is a property of some binary operations.

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Automorphism

In mathematics, an automorphism is an isomorphism from a mathematical object to itself.

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Évariste Galois

Évariste Galois (25 October 1811 – 31 May 1832) was a French mathematician.

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Commutative property

In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.

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Cyclic group

In algebra, a cyclic group or monogenous group is a group that is generated by a single element.

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David Hilbert

David Hilbert (23 January 1862 – 14 February 1943) was a German mathematician.

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Felix Klein

Christian Felix Klein (25 April 1849 – 22 June 1925) was a German mathematician and mathematics educator, known for his work with group theory, complex analysis, non-Euclidean geometry, and on the associations between geometry and group theory.

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Field (mathematics)

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.

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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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Galois theory

In the field of algebra within mathematics, Galois theory, provides a connection between field theory and group theory.

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General linear group

In mathematics, the general linear group of degree n is the set of invertible matrices, together with the operation of ordinary matrix multiplication.

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Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

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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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Hans Fitting

Hans Fitting (13 November 1906 in München-Gladbach (now Mönchengladbach) – 15 June 1938 in Königsberg (now Kaliningrad)) was a mathematician who worked in group theory.

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Homology (mathematics)

In mathematics, homology is a general way of associating a sequence of algebraic objects such as abelian groups or modules to other mathematical objects such as topological spaces.

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Identity element

In mathematics, an identity element or neutral element is a special type of element of a set with respect to a binary operation on that set, which leaves other elements unchanged when combined with them.

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Integer

An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

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Isomorphism theorems

In mathematics, specifically abstract algebra, the isomorphism theorems are three theorems that describe the relationship between quotients, homomorphisms, and subobjects.

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Matrix (mathematics)

In mathematics, a matrix (plural: matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

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Modular arithmetic

In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value—the modulus (plural moduli).

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Module (mathematics)

In mathematics, a module is one of the fundamental algebraic structures used in abstract algebra.

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Multiplicative inverse

In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative identity, 1.

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Permutation

In mathematics, the notion of permutation relates to the act of arranging all the members of a set into some sequence or order, or if the set is already ordered, rearranging (reordering) its elements, a process called permuting.

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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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Prime number

A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

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Quaternion

In mathematics, the quaternions are a number system that extends the complex numbers.

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Quotient group

A quotient group or factor group is a mathematical group obtained by aggregating similar elements of a larger group using an equivalence relation that preserves the group structure.

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Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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Representation theory

Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.

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Richard Brauer

Richard Dagobert Brauer (February 10, 1901 – April 17, 1977) was a leading German and American mathematician.

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Richard Dedekind

Julius Wilhelm Richard Dedekind (6 October 1831 – 12 February 1916) was a German mathematician who made important contributions to abstract algebra (particularly ring theory), axiomatic foundation for the natural numbers, algebraic number theory and the definition of the real numbers.

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Ring (mathematics)

In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.

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Special linear group

In mathematics, the special linear group of degree n over a field F is the set of matrices with determinant 1, with the group operations of ordinary matrix multiplication and matrix inversion.

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Subgroup

In group theory, a branch of mathematics, given a group G under a binary operation ∗, a subset H of G is called a subgroup of G if H also forms a group under the operation ∗.

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Symmetric group

In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions.

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Symmetry (physics)

In physics, a symmetry of a physical system is a physical or mathematical feature of the system (observed or intrinsic) that is preserved or remains unchanged under some transformation.

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Vector space

A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.

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The list above answers the following questions

Emmy Noether and List of group theory topics Comparison

Emmy Noether has 328 relations, while List of group theory topics has 280. As they have in common 40, the Jaccard index is 6.58% = 40 / (328 + 280).

References

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