The Factorisation of the Alternating and Symmetric Groups.

James Wiegold; Alan G. Williamson

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On B-injectors of symmetric groups Sₙ and alternating groups Aₙ: a new approach

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The aim of this paper is to introduce the notion of BG-injectors of finite groups and invoke this notion to determine the B-injectors of Sₙ and Aₙ and to prove that they are conjugate. This paper provides a new, more straightforward and constructive proof of a result of Bialostocki which determines the B-injectors of the symmetric and alternating groups.