Similarities between Group isomorphism and List of group theory topics
Group isomorphism and List of group theory topics have 18 things in common (in Unionpedia): Abelian group, Automorphism, Bijection, Category of groups, Conjugacy class, Cyclic group, Dihedral group, Direct product of groups, Equivalence relation, Group homomorphism, Inner automorphism, Integer, Klein four-group, Modular arithmetic, Outer automorphism group, Quotient group, Real number, 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 Group isomorphism · Abelian group and List of group theory topics ·
Automorphism
In mathematics, an automorphism is an isomorphism from a mathematical object to itself.
Automorphism and Group isomorphism · Automorphism and List of group theory topics ·
Bijection
In mathematics, a bijection, bijective function, or one-to-one correspondence is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other set, and each element of the other set is paired with exactly one element of the first set.
Bijection and Group isomorphism · Bijection 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 isomorphism · Category of groups and List of group theory topics ·
Conjugacy class
In mathematics, especially group theory, the elements of any group may be partitioned into conjugacy classes; members of the same conjugacy class share many properties, and study of conjugacy classes of non-abelian groups reveals many important features of their structure.
Conjugacy class and Group isomorphism · Conjugacy class 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 isomorphism · Cyclic group and List of group theory topics ·
Dihedral group
In mathematics, a dihedral group is the group of symmetries of a regular polygon, which includes rotations and reflections.
Dihedral group and Group isomorphism · Dihedral group and List of group theory topics ·
Direct product of groups
In group theory, the direct product is an operation that takes two groups and and constructs a new group, usually denoted.
Direct product of groups and Group isomorphism · Direct product of groups and List of group theory topics ·
Equivalence relation
In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive.
Equivalence relation and Group isomorphism · Equivalence relation and List of group theory topics ·
Group homomorphism
In mathematics, given two groups, (G, ∗) and (H, ·), a group homomorphism from (G, ∗) to (H, ·) is a function h: G → H such that for all u and v in G it holds that where the group operation on the left hand side of the equation is that of G and on the right hand side that of H. From this property, one can deduce that h maps the identity element eG of G to the identity element eH of H, and it also maps inverses to inverses in the sense that Hence one can say that h "is compatible with the group structure".
Group homomorphism and Group isomorphism · Group homomorphism and List of group theory topics ·
Inner automorphism
In abstract algebra an inner automorphism is an automorphism of a group, ring, or algebra given by the conjugation action of a fixed element, called the conjugating element.
Group isomorphism and Inner automorphism · Inner automorphism and List of group theory topics ·
Integer
An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").
Group isomorphism and Integer · Integer and List of group theory topics ·
Klein four-group
In mathematics, the Klein four-group (or just Klein group or Vierergruppe, four-group, often symbolized by the letter V or as K4) is the group, the direct product of two copies of the cyclic group of order 2.
Group isomorphism and Klein four-group · Klein four-group and List of group theory topics ·
Modular arithmetic
In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value—the modulus (plural moduli).
Group isomorphism and Modular arithmetic · List of group theory topics and Modular arithmetic ·
Outer automorphism group
In mathematics, the outer automorphism group of a group,, is the quotient,, where is the automorphism group of and) is the subgroup consisting of inner automorphisms.
Group isomorphism and Outer automorphism group · List of group theory topics and Outer automorphism group ·
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.
Group isomorphism and Quotient group · List of group theory topics and Quotient group ·
Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
Group isomorphism and Real number · List of group theory topics and Real number ·
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 isomorphism and Subgroup · List of group theory topics and Subgroup ·
The list above answers the following questions
- What Group isomorphism and List of group theory topics have in common
- What are the similarities between Group isomorphism and List of group theory topics
Group isomorphism and List of group theory topics Comparison
Group isomorphism has 32 relations, while List of group theory topics has 280. As they have in common 18, the Jaccard index is 5.77% = 18 / (32 + 280).
References
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