Author: Revin D.O.1
Source: Algebra and Logic, Volume 42, Number 3, May 2003 , pp. 192-206(15)
Publisher: Springer
Abstract:
On Aschbacher's definition, a subgroup N of a finite group G is called a p-superlocal for a prime p if N=N_G(O_p(N)). We describe the p-superlocals in symmetric and alternating groups, thereby resolving part way Problem 11.3 in the Kourovka Notebook [3].
Keywords: symmetric group; alternating group; p-superlocal
Language: English
Document Type: Research article
Affiliations: 1: Novosibirsk State University revin@math.nsc.ru
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