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单词 alternating group
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alternating group
alternating group n. Mathematics the group of even permutations (permutation n. 3b) of a finite set.
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1886 Amer. Jrnl. Math. 8 275 The Borchardt moduli..are irrational to a considerable degree, and their group is 32—1-edric isomorphic with the alternating group of the x's.
1901 Amer. Jrnl. Math. 23 260 The transitive groups of degree 5..fall naturally into two categories, the first containing the symmetric group and its self-conjugate subgroup, the alternating group.
1990 Proc. London Math. Soc. 60 91 In the case of alternating groups, the nature of the Artin invariants is connected with, fittingly, the Artin conjecture.
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