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Examples of 3-dimensional 1-cohomology for absolutely irreducible modules of finite simple groups

Examples of 3-dimensional 1-cohomology for absolutely irreducible modules of finite simple groups Abstract It is known that for finite simple groups it is possible for a faithful absolutely irreducible module to have 1-cohomology of dimension at least 3. However, until now no explicit examples have been found. We present two explicit examples where the dimension is exactly 3. It remains an open question as to whether the dimension can be bigger than 3. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Group Theory de Gruyter

Examples of 3-dimensional 1-cohomology for absolutely irreducible modules of finite simple groups

Bray, John N.; Wilson, Robert A.
Journal of Group Theory , Volume 11 (5) – Sep 1, 2008
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Publisher
de Gruyter
Copyright
Copyright © 2008 by the
ISSN
1433-5883
eISSN
1435-4446
DOI
10.1515/JGT.2008.042
Publisher site
See Article on Publisher Site

Abstract

Abstract It is known that for finite simple groups it is possible for a faithful absolutely irreducible module to have 1-cohomology of dimension at least 3. However, until now no explicit examples have been found. We present two explicit examples where the dimension is exactly 3. It remains an open question as to whether the dimension can be bigger than 3.

Journal

Journal of Group Theory – de Gruyter

Published: Sep 1, 2008

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