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.
Abelian group and Group ring · Abelian group and List of group theory topics ·
Category of groups
In mathematics, the category Grp has the class of all groups for objects and group homomorphisms for morphisms.
Category of groups and Group ring · Category of groups and List of group theory topics ·
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 ·
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.
Character theory and Group ring · Character theory and List of group theory topics ·
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).
Coxeter group and Group ring · Coxeter group and List of group theory topics ·
Cyclic group
In algebra, a cyclic group or monogenous group is a group that is generated by a single element.
Cyclic group and Group ring · Cyclic group and List of group theory topics ·
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.
Discrete space and Group ring · Discrete space and List of group theory topics ·
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.
Free group and Group ring · Free group and List of group theory topics ·
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.
Group algebra and Group ring · Group algebra and List of group theory topics ·
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.
Group representation and Group ring · Group representation and List of group theory topics ·
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.
Group ring and Maschke's theorem · List of group theory topics and Maschke's theorem ·
Module (mathematics)
In mathematics, a module is one of the fundamental algebraic structures used in abstract algebra.
Group ring and Module (mathematics) · List of group theory topics and Module (mathematics) ·
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.
Group ring and Monoid ring · List of group theory topics and Monoid ring ·
Quaternion
In mathematics, the quaternions are a number system that extends the complex numbers.
Group ring and Quaternion · List of group theory topics and Quaternion ·
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.
Group ring and Quaternion group · List of group theory topics and Quaternion group ·
Ring (mathematics)
In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.
Group ring and Ring (mathematics) · List of group theory topics and Ring (mathematics) ·
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 ∗.
Group ring and Subgroup · List of group theory topics and Subgroup ·
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.
Group ring and Topological group · List of group theory topics and Topological group ·
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.
Group ring and Vector space · List of group theory topics and Vector space ·
The list above answers the following questions
- What Group ring and List of group theory topics have in common
- What are the similarities between Group ring and List of group theory topics
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
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