Symmetric and permutational generating set of the groups and using and an element of order .
Al-Amri, Ibraham R. (1998)
International Journal of Mathematics and Mathematical Sciences
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International Journal of Mathematics and Mathematical Sciences
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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.
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