subnormal subgroup
11C normal subgroup — In mathematics, in the field of group theory, a subgroup H of a group G is called c normal if there is a normal subgroup T of G such that HT = G and the intersection of H and T lies inside the normal core of H.For a weakly c normal subgroup, we… …
12List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… …
13HN group — In mathematics, in the field of group theory, a HN group or hypernormalizing group is a group with the property that the hypernormalizer of any subnormal subgroup is the whole group.For finite groups, this is equivalent to the condition that the… …
14T-group (mathematics) — In mathematics, in the field of group theory, a T group is a group in which the property of normality is transitive, that is, every subnormal subgroup is normal. Here are some facts about T groups:*Every abelian group and every Hamiltonian group… …
15Component (group theory) — In mathematics, in the field of group theory, a component of a finite group is a quasisimple subnormal subgroup. Any two distinct components commute. The product of all the components is the layer of the group. For finite abelian (or nilpotent)… …
16Imperfect group — In mathematics, in the area of algebra known as group theory, an imperfect group is a group with no nontrivial perfect quotients. Some of their basic properties were established in harv|Berrick|Robinson|1993. The study of imperfect groups… …
17Component — may refer to: Usage Component may refer to: System components, the constituents of a system Electronic components, the constituents of electronic circuits Component ingredient, the main ingredient in a dish Component video, a type of analog video …
18Classical involution theorem — In mathematical finite group theory, the classical involution theorem of Aschbacher (1977a, 1977b, 1980) classifies simple groups with a classical involution and satisfying some other conditions, showing that they are mostly groups of Lie… …
19Core (group) — In group theory, a branch of mathematics, a core is any of certain special normal subgroups of a group. The two most common types are the normal core of a subgroup and the p core of a group. Contents 1 The normal core 1.1 Definition 1.2… …
20Composition series — In abstract algebra, a composition series provides a way to break up an algebraic structure, such as a group or a module, into simple pieces. The need for considering composition series in the context of modules arises from the fact that many… …
