- alternating group
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Math.the subgroup consisting of all even permutations, of the group of all permutations of a finite set. Cf. symmetric group.[1905-10]
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Universalium. 2010.
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Universalium. 2010.
Alternating group — In mathematics, an alternating group is the group of even permutations of a finite set. The alternating group on the set {1,..., n } is called the alternating group of degree n , or the alternating group on n letters and denoted by A n or Alt( n… … Wikipedia
alternating group — Math. the subgroup consisting of all even permutations, of the group of all permutations of a finite set. Cf. symmetric group. [1905 10] … Useful english dictionary
alternating group — noun Date: 1901 a permutation group whose elements comprise those permutations of n objects which can be formed from the original order by making an even number of interchanges of pairs of objects … New Collegiate Dictionary
Alternating — may refer to:In mathematics: *alternating form *alternating group *alternating series *alternating knot *alternating mapIn electronics:*alternating current … Wikipedia
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Group of Lie type — In mathematics, a group of Lie type G(k) is a (not necessarily finite) group of rational points of a reductive linear algebraic group G with values in the field k. Finite groups of Lie type form the bulk of nonabelian finite simple groups.… … 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
Mathieu group — Group theory Group theory … Wikipedia
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General linear group — Group theory Group theory … Wikipedia