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On the involution module of SL2(2ƒ)
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Lars Pforte
Published/Copyright:
August 29, 2011
Abstract
For any group G the involutions ℐ in G form a G-set under conjugation. The corresponding kG-permutation module kℐ is known as the involution module of G, with k an algebraically closed field of characteristic two. In this paper we discuss the involution module of the special linear group SL2(2ƒ). We describe the vertices and the Loewy and Socle Series of all its components.
Received: 2010-04-20
Revised: 2010-11-05
Published Online: 2011-08-29
Published in Print: 2011-September
© de Gruyter 2011
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