publication . Article . 2018

The Fischer-Cliford Matrices and Character Table of the Split Extension Group 2^5:SL(5,2)

Rauhi I. Elkhatib;
Open Access English
  • Published: 01 Feb 2018 Journal: General Letters in Mathematics, volume 4, issue 1, pages 23-35 (issn: 2519-9269, eissn: 2519-9277, Copyright policy)
  • Publisher: Refaad
Abstract
The group G ̅=2^5:SL(5,2) is a maximal subgroup of the special linear group SL(6,2) of index 2016. This Group has two inertia factor groups namely, SL(5,2) and 2^4:SL(4,2) of indices 1 and 31 respectively in SL(5, 2). The aim of this paper is to construct the Fischer-Clifford matrices of G ̅, which together with the associated partial character tables of the inertia groups, are used to compute the full charter table of G ̅. There are 27 Ficsher-Clifford matrices with sizes between 1×1 and 3×3.
Subjects
free text keywords: linear groups, group extensions, character table, Clifford theory, inertia groups, FischerClifford matrix, lcsh:Mathematics, lcsh:QA1-939
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