A NEW FINITE SIMPLE GROUP WITH ABELIAN 2-SYLOW SUBGROUPS
نویسندگان
چکیده
منابع مشابه
A New Finite Simple Group with Abelian 2-sylow Subgroups.
A 2-Sylow subgroup of J is elementary abelian of order 8 and J has no subgroup of index 2. If r is an involution in J, then C(r) = (r) X K, where K _ A5. Let G be a finite group with the following properties: (a) S2-subgroups of G are abelian; (b) G has no subgroup of index 2; and (c) G contains an involution t such that 0(t) = (t) X F, where F A5. Then G is a (new) simple group isomorphic to J...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1965
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.53.3.657