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Journal of Group Theory

Editor-in-Chief: Parker, Christopher W.

Managing Editor: Wilson, John S. / Khukhro, Evgenii I. / Kramer, Linus


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1435-4446
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Volume 16, Issue 1

Issues

Character degrees of extensions of PSL2(q) and SL2(q)

Donald L. White
Published Online: 2013-01-03 | DOI: https://doi.org/10.1515/jgt-2012-0026

Abstract.

Denote by S the projective special linear group PSL2(q) over the field of q elements. We determine, for all values of , the degrees of the irreducible complex characters of every group H such that . We also determine the character degrees of certain extensions of the special linear group SL2(q). Explicit knowledge of the character tables of SL2(q), GL2(q), PSL2(q), and PGL2(q) is used along with standard Clifford theory to obtain the degrees.

About the article

Received: 2011-07-25

Revised: 2012-07-28

Published Online: 2013-01-03

Published in Print: 2013-01-01


Citation Information: Journal of Group Theory, Volume 16, Issue 1, Pages 1–33, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/jgt-2012-0026.

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