alternating group

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Related to alternating group: symmetric group

alternating group

[′ȯl·tər·nād·iŋ ′grüp]
(mathematics)
A group made up of all the even permutations of n objects.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
* the alternating group A4 (also called the tetrahedral group);
* the direct product [C.sub.3] x [A.sub.4] of the cyclic group of order 3 and the alternating group [A.sub.4];
The alternating group [A.sub.4] (also called the tetrahedral group) and the binary tetrahedral group B = (a,b|[b.sup.3] = 1, aba = bab) are the only groups of order less than 36 that are not determined by their endomorphism monoids in the class of all groups [9,20-23] (for some groups of order 32 the proofs are under publishing).
(1) Frompart (i) of Lemma 2.5we know that K contains the alternating group [G.sub.([DELTA])] = Alt([OMEGA]\[DELTA]) of degree n - s + 1.
Next, I ask the alternating groups of three to take their seats leaving only four, widely-spaced individuals standing in line.
To make the task more difficult, each of the alternating groups contained eight dots.
The series focuses on two houses in the Pines, one shared by alternating groups of 30- and 40-something gay men, one shared by half a dozen lesbians (who find the more bohemian lesbians from Cherry Grove down the beach just too ...
The unison sway of their uplifted arms heralds an ongoing shift of focus between alternating groups. Memorable is a breezy female duet, characterized by low, sissonne-like jumps and quick footwork.
Volume 7 addresses the identification of the alternating groups of degree at least 13 and most of the finite simple groups of Lie type and Lie rank at least 4.
These criteria are then applied to alternating groups, groups of Lie type in characteristic two, classical groups of Lie type in odd characteristic, exceptional groups of Lie type in odd characteristic, and sporadic groups.
They cover generalities, sporadic groups and the Tits group, alternating groups, exceptional Schur multipliers and exceptional isomorphisms, groups of Lie type: induction from parabolic and non-parabolic subgroups, groups of Lie type: char(K) = 0, classical groups: char(K) = 0, and exceptional groups.

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