On -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.
