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Group isomorphism and List of group theory topics

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

Difference between Group isomorphism and List of group theory topics

Group isomorphism vs. List of group theory topics

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

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 · See more »

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 · See more »

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 · See more »

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 · See more »

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.

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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 · See more »

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 · See more »

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.

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Equivalence relation

In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive.

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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".

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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.

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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").

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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.

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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).

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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.

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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.

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Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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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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The list above answers the following questions

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

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

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