Fischer-Clifford Matrices and Character Table of the Maximal Subgroup (29:(L3(4)):2 of U6(2):2-Reference-Cited by-同舟云学术

Fischer-Clifford Matrices and Character Table of the Maximal Subgroup (29:(L3(4)):2 of U6(2):2

Published:2019-02-25 Issue: Volume:2019 Page:1-17
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Prins Abraham Love¹^ORCID,Monaledi Ramotjaki Lucky²

Affiliation:

1. Department of Mathematics and Physics, Faculty of Applied Sciences, Cape Peninsula University of Technology, P.O. Box 1906, Bellville 7535, South Africa

2. Department of Mathematics, Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South Africa

Abstract

The automorphism group U6(2):2 of the unitary group U6(2)≅Fi21 has a maximal subgroup G¯ of the form (29:(L3(4)):2 of order 20643840. In this paper, Fischer-Clifford theory is applied to the split extension group G¯ to construct its character table. Also, class fusion from G¯ into the parent group U6(2):2 is determined.

Funder

South African Department of Defense and the academic support

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2019/9382525.pdf

Reference14 articles.

1. COVERING AND AUTOMORPHISM GROUPS OF U6(2)

2. Fischer-Clifford matrices of $$2^8{:}(U_4(2){:}2)$$ 2 8 : ( U 4 ( 2 ) : 2 ) as a subgroup of $$O_{10}^+(2)$$ O 10 + ( 2 )

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