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proper subgroup

См. также в других словарях:

  • 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

  • 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

  • proper — I. adjective Etymology: Middle English propre proper, own, from Anglo French, from Latin proprius own Date: 14th century 1. a. referring to one individual only b. belonging to one ; own c. appointed for the liturgy of a particular day d.… …   New Collegiate Dictionary

  • Maximal subgroup — Lattice of subgroups of the symmetric group S4 M. s. are A4, three Dih4 and four S3 (Compare: Subgroups of S …   Wikipedia

  • Carter subgroup — In mathematics, especially in the field of group theory, a Carter subgroup of a finite group G is a subgroup H that is a nilpotent group, and self normalizing. These subgroups were introduced by Roger Carter, and marked the beginning of the post… …   Wikipedia

  • Seminormal subgroup — In mathematics, in the field of group theory, a subgroup A of a group G is termed seminormal if there is a subgroup B such that AB = G, and for any proper subgroup C of B, AC is a proper subgroup of G.This definition of seminormal subgroups is… …   Wikipedia

  • Normal subgroup — Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum semidirect product, wreath product …   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

  • Micronesian Proper languages — Infobox Language family name=Micronesian Proper region=Micronesia familycolor=Austronesian fam2=Malayo Polynesian (MP) fam3=Nuclear MP fam4=Central Eastern MP fam5=Eastern MP fam6=Oceanic fam7=Central Eastern fam8=Micronesian|The family of… …   Wikipedia

  • Point groups in three dimensions — In geometry, a point group in three dimensions is an isometry group in three dimensions that leaves the origin fixed, or correspondingly, an isometry group of a sphere. It is a subgroup of the orthogonal group O(3), the group of all isometries… …   Wikipedia

  • Elementary group theory — In mathematics, a group is defined as a set G and a binary operation on G , called product and denoted by infix * . Product obeys the following rules (also called axioms). Let a , b , and c be arbitrary elements of G . Then: *A1, Closure. a * b… …   Wikipedia

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