On $B$-injectors of symmetric groups $S_{n}$ and alternating groups $A_{n}$: a new approach
Volume 115 / 2009
Colloquium Mathematicum 115 (2009), 247-258
MSC: Primary 20G40.
DOI: 10.4064/cm115-2-8
Abstract
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 $S_n$ and $A_n$ 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 $B\hbox {-injector}$s of the symmetric and alternating groups.
