On B-injectors of symmetric groups Sₙ and alternating groups Aₙ: a new approach
M. I. AlAli ; Bilal Al-Hasanat ; I. Sarayreh ; M. Kasassbeh ; M. Shatnawi ; A. Neumann
Colloquium Mathematicae, Tome 116 (2009), p. 247-258 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:283961 
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     title = {On B-injectors of symmetric groups Sn and alternating groups An: a new approach},
     journal = {Colloquium Mathematicae},
     volume = {116},
     year = {2009},
     pages = {247-258},
     zbl = {1162.20001},
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M. I. AlAli; Bilal Al-Hasanat; I. Sarayreh; M. Kasassbeh; M. Shatnawi; A. Neumann. On B-injectors of symmetric groups Sₙ and alternating groups Aₙ: a new approach. Colloquium Mathematicae, Tome 116 (2009) pp. 247-258. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm115-2-8/