chain of subgroups

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• Emmy Noether — Amalie Emmy Noether Born 23 March 1882(1882 03 23) …   Wikipedia

• Subgroup series — In mathematics, a subgroup series is a chain of subgroups: Subgroup series can simplify the study of a group to the study of simpler subgroups and their relations, and several subgroup series can be invariantly defined and are important… …   Wikipedia

• Supersolvable group — In mathematics, a group is supersolvable (or supersoluble) if it has an invariant normal series where all the factors are cyclic groups. Supersolvablility is stronger than the notion of solvability.DefinitionLet G be a group. G is supersolvable… …   Wikipedia

• 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 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… …   Wikipedia

• Center (group theory) — In abstract algebra, the center of a group G is the set Z ( G ) of all elements in G which commute with all the elements of G . That is,:Z(G) = {z in G | gz = zg ;forall,g in G}.Note that Z ( G ) is a subgroup of G , because # Z ( G ) contains e …   Wikipedia

• Optimal solutions for Rubik's Cube — Computer Graphics of a scrambled Rubik s cube There are many algorithms to solve scrambled Rubik s Cubes. The maximum number of face turns needed to solve any instance of the Rubik s cube is 20.[1] This number is also known as the diameter of the …   Wikipedia

• Conway group — Group theory Group theory …   Wikipedia

• Lower Yangtze Mandarin — Xiajiang Guanhua Spoken in Huai and Yangzi Rivers Language family Sino Tibetan Chinese …   Wikipedia

• Fitting length — In mathematics, especially in the area of algebra known as group theory, the Fitting length (or nilpotent length) measures how far a solvable group is from being nilpotent. The concept is named after Hans Fitting, due to his investigations of… …   Wikipedia

• Food web — A freshwater aquatic and terrestrial food web. A food web (or food cycle) depicts feeding connections (what eats what) in an ecological community. Ecologists can broadly lump all life forms into one of two categories called trophic levels: 1) the …   Wikipedia

• Krull-Schmidt theorem — In mathematics, the Krull Schmidt theorem states that a group G, subjected to certain finiteness conditions of chains of subgroups, can be uniquely written as a finite direct product of indecomposable subgroups.DefinitionsWe say that a group G… …   Wikipedia