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Paper Information

Journal:   INTERNATIONAL JOURNAL OF GROUP THEORY   DECEMBER 2012 , Volume 1 , Number 4; Page(s) 43 To 63.
 
Paper: 

FISCHER MATRICES OF DEMPWOLFF GROUP 25GL (5; 2)

 
 
Author(s):  BASHEER AYOUB B.M.*, MOORI J.
 
* DEPARTMENT OF PURE MATHEMATICS, FACULTY OF MATHEMATICAL SCIENCES, UNIVERSITY OF KHARTOUM, KHARTOUM, SUDAN
 
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‾=25GL (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.
 
Keyword(s): GROUP EXTENSIONS, DEMPWOLFF GROUP, CHARACTER TABLE, CLIFFORD THEORY, INERTIA GROUPS, FISCHER MATRICES, SCHUR MULTIPLIER, PROJECTIVE CHARACTERS, COVERING GROUP
 
 
References: 
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Click to Cite.
APA: Copy

BASHEER, A., & MOORI, J. (2012). FISCHER MATRICES OF DEMPWOLFF GROUP 25GL (5; 2). INTERNATIONAL JOURNAL OF GROUP THEORY, 1(4), 43-63. https://www.sid.ir/en/journal/ViewPaper.aspx?id=272847



Vancouver: Copy

BASHEER AYOUB B.M., MOORI J.. FISCHER MATRICES OF DEMPWOLFF GROUP 25GL (5; 2). INTERNATIONAL JOURNAL OF GROUP THEORY. 2012 [cited 2021May10];1(4):43-63. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=272847



IEEE: Copy

BASHEER, A., MOORI, J., 2012. FISCHER MATRICES OF DEMPWOLFF GROUP 25GL (5; 2). INTERNATIONAL JOURNAL OF GROUP THEORY, [online] 1(4), pp.43-63. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=272847.



 
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