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FISCHER MATRICES OF DEMPWOLFF GROUP 25.GL(5; 2).
- Source :
-
International Journal of Group Theory . Dec2012, Vol. 1 Issue 4, p43-63. 21p. - Publication Year :
- 2012
-
Abstract
- In [U. Dempwolff, On extensions of elementary abelian groups of order 25 by GL(5; 2), Rend. Sem. Mat. Univ. Padova, 48 (1972), 359 - 364.] Dempwolff proved the existence of a group of the form 25. GL(5; 2) (a non split extension of the elementary abelian group 25 by the general linear group GL(5; 2)). This group is the second largest maximal subgroup of the sporadic Thompson simple group Th: In this paper we calculate the Fischer matrices of Dempwolff group G = 25. GL(5; 2): The theory of projective characters is involved and we have computed the Schur multiplier together with a projective character table of an inertia factor group. The full character table of G is then can be calculated easily. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 22517650
- Volume :
- 1
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- International Journal of Group Theory
- Publication Type :
- Academic Journal
- Accession number :
- 87451359