Processing math: 0%

Wykorzystujemy pliki cookies aby ułatwić Ci korzystanie ze strony oraz w celach analityczno-statystycznych.

A+ CATEGORY SCIENTIFIC UNIT

On -injectors of symmetric groups S_{n} and alternating groups A_{n}: a new approach

Volume 115 / 2009

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

Authors

  • M. I. AlAliDepartment of Mathematics
    Mu'tah University
    Alkarak, Jordan
    e-mail
  • Bilal Al-HasanatDepartment of Mathematics
    Mu'tah University
    Alkarak, Jordan
    e-mail
  • I. SarayrehDepartment of Mathematics
    Mu'tah University
    Alkarak, Jordan
  • M. KasassbehDepartment of Mathematics
    Mu'tah University
    Alkarak, Jordan
    e-mail
  • M. ShatnawiDepartment of Mathematics
    Mu'tah University
    Alkarak, Jordan
    e-mail
  • A. NeumannFakultät für Mathematik und Physik
    Universität Tübingen
    Auf der Morgen Stelle
    72076 Tübingen, Germany
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image