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Group ring and List of group theory topics

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

Difference between Group ring and List of group theory topics

Group ring vs. List of group theory topics

The differences between Group ring and List of group theory topics are not available.

Similarities between Group ring and List of group theory topics

Group ring and List of group theory topics have 19 things in common (in Unionpedia): Abelian group, Category of groups, Center (group theory), Character theory, Coxeter group, Cyclic group, Discrete space, Free group, Group algebra, Group representation, Maschke's theorem, Module (mathematics), Monoid ring, Quaternion, Quaternion group, Ring (mathematics), Subgroup, Topological group, Vector space.

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.

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Category of groups

In mathematics, the category Grp has the class of all groups for objects and group homomorphisms for morphisms.

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Center (group theory)

In abstract algebra, the center of a group,, is the set of elements that commute with every element of.

Center (group theory) and Group ring · Center (group theory) and List of group theory topics · See more »

Character theory

In mathematics, more specifically in group theory, the character of a group representation is a function on the group that associates to each group element the trace of the corresponding matrix.

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Coxeter group

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).

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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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Discrete space

In topology, a discrete space is a particularly simple example of a topological space or similar structure, one in which the points form a discontinuous sequence, meaning they are isolated from each other in a certain sense.

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Free group

In mathematics, the free group FS over a given set S consists of all expressions (a.k.a. words, or terms) that can be built from members of S, considering two expressions different unless their equality follows from the group axioms (e.g. st.

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Group algebra

In mathematics, the group algebra is any of various constructions to assign to a locally compact group an operator algebra (or more generally a Banach algebra), such that representations of the algebra are related to representations of the group.

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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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Maschke's theorem

In mathematics, Maschke's theorem, named after Heinrich Maschke, is a theorem in group representation theory that concerns the decomposition of representations of a finite group into irreducible pieces.

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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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Monoid ring

In abstract algebra, a monoid ring is a ring constructed from a ring and a monoid, just as a group ring is constructed from a ring and a group.

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Quaternion

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

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Quaternion group

In group theory, the quaternion group Q8 (sometimes just denoted by Q) is a non-abelian group of order eight, isomorphic to a certain eight-element subset of the quaternions under multiplication.

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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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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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Topological group

In mathematics, a topological group is a group G together with a topology on G such that the group's binary operation and the group's inverse function are continuous functions with respect to the topology.

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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

Group ring and List of group theory topics Comparison

Group ring has 66 relations, while List of group theory topics has 280. As they have in common 19, the Jaccard index is 5.49% = 19 / (66 + 280).

References

This article shows the relationship between Group ring and List of group theory topics. To access each article from which the information was extracted, please visit:

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