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Fischer group

Index Fischer group

In the area of modern algebra known as group theory, the Fischer groups are the three sporadic simple groups Fi22, Fi23 and Fi24 introduced by. [1]

15 relations: Bernd Fischer (mathematician), Cambridge University Press, Conjugacy class, Fischer group Fi22, Fischer group Fi23, Fischer group Fi24, Group theory, Index of a subgroup, Inventiones Mathematicae, Mathieu group, Monstrous moonshine, Sporadic group, Springer Science+Business Media, Steiner system, Symmetric group.

Bernd Fischer (mathematician)

Bernd Fischer (born 18 December 1936) is a German mathematician.

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Cambridge University Press

Cambridge University Press (CUP) is the publishing business of the University of Cambridge.

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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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Fischer group Fi22

In the area of modern algebra known as group theory, the Fischer group Fi22 is a sporadic simple group of order.

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Fischer group Fi23

In the area of modern algebra known as group theory, the Fischer group Fi23 is a sporadic simple group of order.

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Fischer group Fi24

In the area of modern algebra known as group theory, the Fischer group Fi24 or F24′ is a sporadic simple group of order.

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Group theory

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

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Index of a subgroup

In mathematics, specifically group theory, the index of a subgroup H in a group G is the "relative size" of H in G: equivalently, the number of "copies" (cosets) of H that fill up G. For example, if H has index 2 in G, then intuitively half of the elements of G lie in H. The index of H in G is usually denoted |G: H| or or (G:H).

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Inventiones Mathematicae

Inventiones Mathematicae is a mathematical journal published monthly by Springer Science+Business Media.

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Mathieu group

In the area of modern algebra known as group theory, the Mathieu groups are the five sporadic simple groups ''M''11, ''M''12, ''M''22, ''M''23 and ''M''24 introduced by.

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Monstrous moonshine

In mathematics, monstrous moonshine, or moonshine theory, is the unexpected connection between the monster group M and modular functions, in particular, the ''j'' function.

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Sporadic group

In group theory, a discipline within mathematics, a sporadic group is one of the 26 exceptional groups found in the classification of finite simple groups.

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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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Steiner system

The Fano plane is an S(2,3,7) Steiner triple system. The blocks are the 7 lines, each containing 3 points. Every pair of points belongs to a unique line. In combinatorial mathematics, a Steiner system (named after Jakob Steiner) is a type of block design, specifically a t-design with λ.

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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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77-graph, Fischer groups, Fisher group.

References

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

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