Centrally closed subgroup — In mathematics, in the realm of group theory, a subgroup of a group is said to be centrally closed if the centralizer of any nonidentity element of the subgroup lies inside the subgroup.Some facts about centrally closed subgroups:* Every… … Wikipedia
Subgroup — This article is about the mathematical concept For the galaxy related concept, see Galaxy subgroup. Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum … Wikipedia
Subgroup test — In Abstract Algebra, the one step subgroup test is a theorem that states that for any group, a subset of that group is itself a group if the inverse of any element in the subset multiplied with any other element in the subset is also in the… … Wikipedia
Subgroup growth — Im mathematics, subgroup growth is a branch of group theory, dealing with quantitative questions about subgroups of a given group. [citebook|title=Subgroup Growth|author=Alexander Lubotzky, Dan Segal|year=2003|publisher=Birkhäuser|id=ISBN… … Wikipedia
closed user groups — (CUG) A subgroup of network users that is treated as an entity, whereby any member of the subgroup can communicate only with members of that subgroup … IT glossary of terms, acronyms and abbreviations
subgroup — /sub groohp /, n. 1. a subordinate group; a division of a group. 2. Chem. a division of a group in the periodic table. 3. Math. a subset of a group that is closed under the group operation and in which every element has an inverse in the subset.… … Universalium
subgroup — sub•group [[t]ˈsʌbˌgrup[/t]] n. 1) a subordinate group 2) math. Math. a subset of a group that is closed under the group operation and in which every element has an inverse in the subset • Etymology: 1835–45 … From formal English to slang
Lie subgroup — In mathematics, a subgroup H of a Lie group G is a Lie subgroup if the inclusion map from H to G is smooth. In particular, this implies that the inclusion map from H to G is an immersion. According to Cartan s theorem, a closed subgroup of G is… … Wikipedia
Maximal compact subgroup — In mathematics, a maximal compact subgroup K of a topological group G is a subgroup K that is a compact space, in the subspace topology, and maximal amongst such subgroups. Maximal compact subgroups play an important role in the classification of … Wikipedia
Borel subgroup — In the theory of algebraic groups, a Borel subgroup of an algebraic group G is a maximal Zariski closed and connected solvable algebraic subgroup. For example, in the group GLn (n x n invertible matrices), the subgroup of invertible upper… … Wikipedia
