Faster access than browser!Similarities between List of group theory topics and Torsion subgroup
List of group theory topics and Torsion subgroup have 16 things in common (in Unionpedia): Abelian group, Characteristic subgroup, Cyclic group, Direct sum of groups, Divisible group, Finitely generated abelian group, Free abelian group, Generating set of a group, Identity element, Module (mathematics), Nilpotent group, Presentation of a group, Quotient group, Rank of an abelian group, Subgroup, Sylow theorems.
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 List of group theory topics · Abelian group and Torsion subgroup ·
Characteristic subgroup
In mathematics, particularly in the area of abstract algebra known as group theory, a characteristic subgroup is a subgroup that is mapped to itself by every automorphism of the parent group.
Characteristic subgroup and List of group theory topics · Characteristic subgroup and Torsion subgroup ·
Cyclic group
In algebra, a cyclic group or monogenous group is a group that is generated by a single element.
Cyclic group and List of group theory topics · Cyclic group and Torsion subgroup ·
Direct sum of groups
In mathematics, a group G is called the direct sum of two subgroups H1 and H2 if.
Direct sum of groups and List of group theory topics · Direct sum of groups and Torsion subgroup ·
Divisible group
In mathematics, especially in the field of group theory, a divisible group is an abelian group in which every element can, in some sense, be divided by positive integers, or more accurately, every element is an nth multiple for each positive integer n. Divisible groups are important in understanding the structure of abelian groups, especially because they are the injective abelian groups.
Divisible group and List of group theory topics · Divisible group and Torsion subgroup ·
Finitely generated abelian group
In abstract algebra, an abelian group is called finitely generated if there exist finitely many elements x1,..., xs in G such that every x in G can be written in the form with integers n1,..., ns.
Finitely generated abelian group and List of group theory topics · Finitely generated abelian group and Torsion subgroup ·
Free abelian group
In abstract algebra, a free abelian group or free Z-module is an abelian group with a basis.
Free abelian group and List of group theory topics · Free abelian group and Torsion subgroup ·
Generating set of a group
In abstract algebra, a generating set of a group is a subset such that every element of the group can be expressed as the combination (under the group operation) of finitely many elements of the subset and their inverses.
Generating set of a group and List of group theory topics · Generating set of a group and Torsion subgroup ·
Identity element
In mathematics, an identity element or neutral element is a special type of element of a set with respect to a binary operation on that set, which leaves other elements unchanged when combined with them.
Identity element and List of group theory topics · Identity element and Torsion subgroup ·
Module (mathematics)
In mathematics, a module is one of the fundamental algebraic structures used in abstract algebra.
List of group theory topics and Module (mathematics) · Module (mathematics) and Torsion subgroup ·
Nilpotent group
A nilpotent group G is a group that has an upper central series that terminates with G. Provably equivalent definitions include a group that has a central series of finite length or a lower central series that terminates with.
List of group theory topics and Nilpotent group · Nilpotent group and Torsion subgroup ·
Presentation of a group
In mathematics, one method of defining a group is by a presentation.
List of group theory topics and Presentation of a group · Presentation of a group and Torsion subgroup ·
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.
List of group theory topics and Quotient group · Quotient group and Torsion subgroup ·
Rank of an abelian group
In mathematics, the rank, Prüfer rank, or torsion-free rank of an abelian group A is the cardinality of a maximal linearly independent subset.
List of group theory topics and Rank of an abelian group · Rank of an abelian group and Torsion subgroup ·
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 ∗.
List of group theory topics and Subgroup · Subgroup and Torsion subgroup ·
Sylow theorems
In mathematics, specifically in the field of finite group theory, the Sylow theorems are a collection of theorems named after the Norwegian mathematician Ludwig Sylow (1872) that give detailed information about the number of subgroups of fixed order that a given finite group contains.
List of group theory topics and Sylow theorems · Sylow theorems and Torsion subgroup ·
The list above answers the following questions
- What List of group theory topics and Torsion subgroup have in common
- What are the similarities between List of group theory topics and Torsion subgroup
List of group theory topics and Torsion subgroup Comparison
List of group theory topics has 280 relations, while Torsion subgroup has 32. As they have in common 16, the Jaccard index is 5.13% = 16 / (280 + 32).
References
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