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3-transposition group

Index 3-transposition group

In mathematical group theory, a 3-transposition group is a group generated by a conjugacy class of involutions, called the 3-transpositions, such that the product of any two involutions from the conjugacy class has order at most 3. [1]

14 relations: Cambridge University Press, CH-quasigroup, Core (group theory), Cyclic permutation, Fischer group, Graph theory, Group (mathematics), Group theory, Inventiones Mathematicae, Involution (mathematics), Mathematische Zeitschrift, Moufang loop, Order (group theory), Petersen graph.

Cambridge University Press

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

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CH-quasigroup

In mathematics, a CH-quasigroup, introduced by, is a symmetric quasigroup in which any three elements generate an abelian quasigroup.

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Core (group theory)

In group theory, a branch of mathematics, a core is any of certain special normal subgroups of a group.

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Cyclic permutation

In mathematics, and in particular in group theory, a cyclic permutation (or cycle) is a permutation of the elements of some set X which maps the elements of some subset S of X to each other in a cyclic fashion, while fixing (that is, mapping to themselves) all other elements of X. If S has k elements, the cycle is called a k-cycle.

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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.

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Graph theory

In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects.

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Group (mathematics)

In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.

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Group theory

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

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Inventiones Mathematicae

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

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Involution (mathematics)

In mathematics, an involution, or an involutory function, is a function that is its own inverse, for all in the domain of.

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Mathematische Zeitschrift

Mathematische Zeitschrift (German for Mathematical Journal) is a mathematical journal for pure and applied mathematics published by Springer Verlag.

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Moufang loop

In mathematics, a Moufang loop is a special kind of algebraic structure.

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Order (group theory)

In group theory, a branch of mathematics, the term order is used in two unrelated senses.

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Petersen graph

In the mathematical field of graph theory, the Petersen graph is an undirected graph with 10 vertices and 15 edges.

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Fischer's theorem.

References

[1] https://en.wikipedia.org/wiki/3-transposition_group

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