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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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Volume 12, Issue 3


On vertices of completely splittable modules for symmetric groups and simple modules labelled by two part partitions

Susanne Danz
Published Online: 2008-11-06 | DOI: https://doi.org/10.1515/JGT.2008.082


We prove that the vertices of a completely splittable module D for a finite symmetric group over an algebraically closed field of characteristic p > 0 are precisely the defect groups of the block containing D. We also determine the vertices of simple modules for the symmetric groups in characteristic p > 2 which are labelled by two part partitions (nm, m) such that .

About the article

Received: 2007-09-05

Revised: 2008-03-06

Published Online: 2008-11-06

Published in Print: 2009-05-01

Citation Information: Journal of Group Theory, Volume 12, Issue 3, Pages 351–385, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/JGT.2008.082.

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