Geodesic
On $B$-injectors of symmetric groups $S_{n}$ and alternating groups $A_{n}$: a new approach
M. I. AlAli1 ; Bilal Al-Hasanat1 ; I. Sarayreh1 ; M. Kasassbeh1 ; M. Shatnawi1 ; A. Neumann2
1 Department of Mathematics Mu'tah University Alkarak, Jordan
2 Fakultät für Mathematik und Physik Universität Tübingen Auf der Morgen Stelle 72076 Tübingen, Germany
Colloquium Mathematicum, Tome 115 (2009) no. 2, pp. 247-258

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm115-2-8
Keywords: paper introduce notion bg injectors finite groups invoke notion determine b injectors and prove conjugate paper provides straightforward constructive proof result bialostocki which determines hbox injector symmetric alternating groups

M. I. AlAli 1 ; Bilal Al-Hasanat 1 ; I. Sarayreh 1 ; M. Kasassbeh 1 ; M. Shatnawi 1 ; A. Neumann 2

1 Department of Mathematics Mu'tah University Alkarak, Jordan
2 Fakultät für Mathematik und Physik Universität Tübingen Auf der Morgen Stelle 72076 Tübingen, Germany 
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M. I. AlAli; Bilal Al-Hasanat; I. Sarayreh; M. Kasassbeh; M. Shatnawi; A. Neumann. On $B$-injectors of symmetric groups $S_{n}$
 and alternating groups $A_{n}$: a new approach. Colloquium Mathematicum, Tome 115 (2009) no. 2, pp. 247-258. doi: 10.4064/cm115-2-8

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