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

• Autorzy: M. I. AlAli , Bilal Al-Hasanat , I. Sarayreh , M. Kasassbeh , M. Shatnawi , A. Neumann
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 20G40: Linear algebraic groups over finite fields

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2009
• Tom: 115
• Numer: 2
• Strony: 247-258

Daty

wydano

2009

Twórcy

autor

M. I. AlAli

• Department of Mathematics, Mu'tah University, Alkarak, Jordan

autor

Bilal Al-Hasanat

• Department of Mathematics, Mu'tah University, Alkarak, Jordan

autor

I. Sarayreh

• Department of Mathematics, Mu'tah University, Alkarak, Jordan

autor

M. Kasassbeh

• Department of Mathematics, Mu'tah University, Alkarak, Jordan

autor

M. Shatnawi

• Department of Mathematics, Mu'tah University, Alkarak, Jordan

autor

A. Neumann

• Fakultät für Mathematik und Physik, Universität Tübingen, Auf der Morgen Stelle, 72076 Tübingen, Germany

Identyfikatory

DOI

10.4064/cm115-2-8