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Coxeter group and Normal subgroup

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

Difference between Coxeter group and Normal subgroup

Coxeter group vs. Normal subgroup

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 abstract algebra, a normal subgroup is a subgroup which is invariant under conjugation by members of the group of which it is a part.

Similarities between Coxeter group and Normal subgroup

Coxeter group and Normal subgroup have 6 things in common (in Unionpedia): Abelian group, Commutator subgroup, Dihedral group, Group (mathematics), Quotient group, Subgroup.

Abelian group

In abstract algebra, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are written.

Abelian group and Coxeter group · Abelian group and Normal subgroup · See more »

Commutator subgroup

In mathematics, more specifically in abstract algebra, the commutator subgroup or derived subgroup of a group is the subgroup generated by all the commutators of the group.

Commutator subgroup and Coxeter group · Commutator subgroup and Normal subgroup · See more »

Dihedral group

In mathematics, a dihedral group is the group of symmetries of a regular polygon, which includes rotations and reflections.

Coxeter group and Dihedral group · Dihedral group and Normal subgroup · 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) · Group (mathematics) and Normal subgroup · See more »

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.

Coxeter group and Quotient group · Normal subgroup and Quotient group · See more »

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 ∗.

Coxeter group and Subgroup · Normal subgroup and Subgroup · See more »

The list above answers the following questions

Coxeter group and Normal subgroup Comparison

Coxeter group has 141 relations, while Normal subgroup has 59. As they have in common 6, the Jaccard index is 3.00% = 6 / (141 + 59).

References

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

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