Faster access than browser!
9 relations: A-group, Centralizer and normalizer, Finite group, Group (mathematics), Group theory, Mathematics, Metanilpotent group, Solvable group, Subnormal subgroup.
A-group
In mathematics, in the area of abstract algebra known as group theory, an A-group is a type of group that is similar to abelian groups.
New!!: HN group and A-group · See more »
Centralizer and normalizer
In mathematics, especially group theory, the centralizer (also called commutant) of a subset S of a group G is the set of elements of G that commute with each element of S, and the normalizer of S are elements that satisfy a weaker condition.
New!!: HN group and Centralizer and normalizer · See more »
Finite group
In abstract algebra, a finite group is a mathematical group with a finite number of elements.
New!!: HN group and Finite group · See more »
Group (mathematics)
In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.
New!!: HN group and Group (mathematics) · See more »
Group theory
In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.
New!!: HN group and Group theory · See more »
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
New!!: HN group and Mathematics · See more »
Metanilpotent group
In mathematics, in the field of group theory, a metanilpotent group is a group that is nilpotent by nilpotent.
New!!: HN group and Metanilpotent group · See more »
Solvable group
In mathematics, more specifically in the field of group theory, a solvable group or soluble group is a group that can be constructed from abelian groups using extensions.
New!!: HN group and Solvable group · See more »
Subnormal subgroup
In mathematics, in the field of group theory, a subgroup H of a given group G is a subnormal subgroup of G if there is a finite chain of subgroups of the group, each one normal in the next, beginning at H and ending at G. In notation, H is k-subnormal in G if there are subgroups of G such that H_i is normal in H_ for each i. A subnormal subgroup is a subgroup that is k-subnormal for some positive integer k. Some facts about subnormal subgroups.
New!!: HN group and Subnormal subgroup · See more »
