Coxeter group and Cyclic permutation

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

Difference between Coxeter group and Cyclic permutation

Coxeter group vs. Cyclic permutation

In mathematics, a Coxeter group, named after H. S. M. Coxeter, is an abstract group that admits a formal description in terms of reflections (or kaleidoscopic mirrors). 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.

Similarities between Coxeter group and Cyclic permutation

Coxeter group and Cyclic permutation have 5 things in common (in Unionpedia): Generating set of a group, Group (mathematics), Mathematics, Parity of a permutation, Symmetric group.

Generating set of a group

In abstract algebra, a generating set of a group is a subset such that every element of the group can be expressed as the combination (under the group operation) of finitely many elements of the subset and their inverses.

Coxeter group and Generating set of a group · Cyclic permutation and Generating set of a group · See more »

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.

Coxeter group and Group (mathematics) · Cyclic permutation and Group (mathematics) · See more »

Mathematics

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

Coxeter group and Mathematics · Cyclic permutation and Mathematics · See more »

Parity of a permutation

In mathematics, when X is a finite set of at least two elements, the permutations of X (i.e. the bijective functions from X to X) fall into two classes of equal size: the even permutations and the odd permutations.

Coxeter group and Parity of a permutation · Cyclic permutation and Parity of a permutation · See more »

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.

Coxeter group and Symmetric group · Cyclic permutation and Symmetric group · See more »

The list above answers the following questions

What Coxeter group and Cyclic permutation have in common
What are the similarities between Coxeter group and Cyclic permutation

Coxeter group and Cyclic permutation Comparison

Coxeter group has 141 relations, while Cyclic permutation has 23. As they have in common 5, the Jaccard index is 3.05% = 5 / (141 + 23).

References

This article shows the relationship between Coxeter group and Cyclic permutation. To access each article from which the information was extracted, please visit:

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