- 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. 2001.
alternating group
Look at other dictionaries:
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] * * * … Universalium
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 — may refer to:In mathematics: *alternating form *alternating group *alternating series *alternating knot *alternating mapIn electronics:*alternating current … Wikipedia
Group theory — is a mathematical discipline, the part of abstract algebra that studies the algebraic structures known as groups. The development of group theory sprang from three main sources: number theory, theory of algebraic equations, and geometry. The… … Wikipedia
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
Orthogonal group — Group theory Group theory … Wikipedia
General linear group — Group theory Group theory … Wikipedia
