splitting group
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Group 7 Rugby League — Group 7 is a rugby league competition comprised of 9 teams drawn from the Southern Illawarra and South Coast regions (from the town of Albion Park south to Batemans Bay) of New South Wales, Australia. The competition is run by the NSWCRL.… … Wikipedia
Splitting of prime ideals in Galois extensions — In mathematics, the interplay between the Galois group G of a Galois extension L of a number field K, and the way the prime ideals P of the ring of integers OK factorise as products of prime ideals of OL, provides one of the richest parts of… … Wikipedia
Splitting field — In abstract algebra, a splitting field of a polynomial with coefficients in a field is a smallest field extension of that field over which the polynomial factors (or splits , hence the name) into linear factors. Contents 1 Definition 2 Facts 3 … Wikipedia
Splitting lemma — In mathematics, and more specifically in homological algebra, the splitting lemma states that in any abelian category, the following statements for short exact sequence are equivalent. Given a short exact sequence with maps q and r: :0 ightarrow… … Wikipedia
Splitting (Gender) — Ein generisches Maskulinum (eine verallgemeinernde männliche Form eines Wortes) liegt dann vor, wenn bei Personenbezeichnungen, insbesondere bei Berufsbezeichnungen und Substantiven, die den Träger eines Geschehens bezeichnen (Nomina agentis),… … Deutsch Wikipedia
Group (mathematics) — This article covers basic notions. For advanced topics, see Group theory. The possible manipulations of this Rubik s Cube form a group. In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines … Wikipedia
Group extension — In mathematics, a group extension is a general means of describing a group in terms of a particular normal subgroup and quotient group. If Q and N are two groups, then G is an extension of Q by N if there is a short exact sequence:1 ightarrow N… … Wikipedia
Heegaard splitting — In the mathematical field of geometric topology, a Heegaard splitting is a decomposition of a compact oriented 3 manifold that results from dividing it into two handlebodies. The importance of Heegaard splittings has grown in recent years as more … Wikipedia
Grothendieck group — In mathematics, the Grothendieck group construction in abstract algebra constructs an abelian group from a commutative monoid in the best possible way. It takes its name from the more general construction in category theory, introduced by… … Wikipedia
Galois group — In mathematics, a Galois group is a group associated with a certain type of field extension. The study of field extensions (and polynomials which give rise to them) via Galois groups is called Galois theory. The name is for Évariste Galois.For a… … Wikipedia
Doublet–triplet splitting problem — In particle physics, the doublet triplet (splitting) problem is a problem of some Grand Unified Theories, such as SU(5), SO(10), E6. Grand unified theories predict Higgs bosons (doublets of SU(2)) arise from representations of the unified group… … Wikipedia
