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Displaying similar documents to “Symmetric and permutational generating set of the groups A k n + 1 and S k n + 1 using S n and an element of order k .”

Symmetric groups and expanders.

Kassabov, Martin (2005)

Electronic Research Announcements of the American Mathematical Society [electronic only]

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

M. I. AlAli, Bilal Al-Hasanat, I. Sarayreh, M. Kasassbeh, M. Shatnawi, A. Neumann (2009)

Colloquium Mathematicae

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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.