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complemented group

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  • Complemented group — In mathematics, in the realm of group theory, the term complemented group is used in two distinct, but similar ways. In (Hall 1937), a complemented group is one in which every subgroup has a group theoretic complement. Such groups are called… …   Wikipedia

  • Complement (group theory) — In mathematics, especially in the area of algebra known as group theory, a complement of a subgroup H in a group G is a subgroup K of G such that G = HK = { hk : h ∈ H and k ∈ K } and H ∩ K = {e}, that is, if every element of G has a unique… …   Wikipedia

  • Kely Support Group — Infobox Organization name = KELY Support Group image border = size = caption = msize = mcaption = motto = formation = 1991 extinction = type = Non governmental organization headquarters = Hong Kong location = Hong Kong membership = language =… …   Wikipedia

  • Olympic Group — Type Corporation Industry Electronic devices components Founded 1963 Headquarters Cairo, Egypt Website …   Wikipedia

  • Quinn Group — Infobox Company company name = QUINN group company company type = Privately Owned slogan = Strength through Diversity foundation = 1973 location = Derrylin, County Fermanagh, Northern Ireland key people = Sean Quinn, Chairperson num employees = 7 …   Wikipedia

  • Muirkirk Enterprise Group — (MEG) was set up in 1999 with the aim of regenerating the rural village of Muirkirk which was, at one time, labelled the most socially deprived village in Scotland. The ongoing aim of MEG is to regenerate the whole village community to provide… …   Wikipedia

  • British Technology Group — Infobox Company company name = BTG plc company company type = Public (LSE: [http://www.londonstockexchange.com/en gb/pricesnews/prices/system/detailedprices.htm?sym=GB0001001592GBGBXSTMM0100159BGC BGC] ) slogan = Developing the difference… …   Wikipedia

  • Independent Parliamentary Group — The Independent Parliamentary Group was a right wing political organisation in the United Kingdom. It was founded in 1920 by Horatio Bottomley, elected in the 1918 UK general election as an independent Member of Parliament.In 1919, Bottomley… …   Wikipedia

  • List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… …   Wikipedia

  • Lattice of subgroups — In mathematics, the lattice of subgroups of a group G is the lattice whose elements are the subgroups of G, with the partial order relation being set inclusion.In this lattice, the join of two subgroups is the subgroup generated by their union,… …   Wikipedia

  • Outline of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …   Wikipedia

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