ON THE FISCHER-CLIFFORD MATRICES OF A MAXIMAL SUBGROUP OF THE LYONS GROUP LY

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MOORI J.; SERETLO T.

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ISSN: 2588-4824

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Paper Information

Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2013 | Volume:39 | Issue:5 Page(s): 1037-1052

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Title

ON THE FISCHER-CLIFFORD MATRICES OF A MAXIMAL SUBGROUP OF THE LYONS GROUP LY

Author(s)

MOORI J. | SERETLO T. | Issue Writer Certificate

Keywords

GROUP EXTENSIONS

LYONS GROUP

CHARACTER TABLE

CLIFFORD THEORY

INERTIA GROUPS

FISCHER-CLIFFORD MATRICES

Abstract

The non-split extension group `G=53. L (3, 5) is a subgroup of order 46500000 and of index 1113229656 in Ly. The group `G in turn has L (3, 5) and 52: 2: A5 as inertia factors. The group 52: 2: A5 is of order 3000 and is of index 124 in L (3, 5). The aim of this paper is to compute the Fischer-Cliord matrices of `G, which together with associated partial CHARACTER TABLEs of the inertia factor groups, are used to compute a full CHARACTER TABLE of `G. A partial projective CHARACTER TABLE corresponding to 52: 2A5 is required, hence we have to compute the Schur multiplier and projective CHARACTER TABLE of 52: 2A5.

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APA: Copy

MOORI, J., & SERETLO, T.. (2013). ON THE FISCHER-CLIFFORD MATRICES OF A MAXIMAL SUBGROUP OF THE LYONS GROUP L_Y. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 39(5), 1037-1052. SID. https://sid.ir/paper/614868/en

Vancouver: Copy

MOORI J., SERETLO T.. ON THE FISCHER-CLIFFORD MATRICES OF A MAXIMAL SUBGROUP OF THE LYONS GROUP L_Y. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2013;39(5):1037-1052. Available from: https://sid.ir/paper/614868/en

IEEE: Copy

J. MOORI, and T. SERETLO, “ON THE FISCHER-CLIFFORD MATRICES OF A MAXIMAL SUBGROUP OF THE LYONS GROUP L_Y,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 39, no. 5, pp. 1037–1052, 2013, [Online]. Available: https://sid.ir/paper/614868/en

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