Superlocals in Symmetric and Alternating Groups

Author: Revin D.O.¹

Source: Algebra and Logic, Volume 42, Number 3, May 2003 , pp. 192-206(15)

Publisher: Springer

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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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