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A PROOF OF A GENERALIZED NAKAYAMA CONJECTURE

Published online by Cambridge University Press:  20 September 2006

ATTILA MARÓTI
ATTILA MARÓTI
Affiliation:
Department of Mathematics, University of Southern California, 3620 Vermont Avenue, KAP 108, Los Angeles, CA 90089-2532, USAmaroti@usc.edu
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Abstract

In a recent paper, Külshammer, Olsson, and Robinson proved a deep generalization of the Nakayama conjecture for symmetric groups. We provide a similar but a shorter and relatively elementary proof of their result. Our method enables us to obtain a more general $H$-analogue of the Nakayama conjecture where $H$ is a set of positive integers.

Keywords

20C30 (primary)20C1520C20 (secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 38 , Issue 5 , October 2006 , pp. 777 - 785
Copyright
© The London Mathematical Society 2006

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Footnotes

This research was mainly supported by the School of Mathematics and Statistics of the University of Birmingham, UK, and partially by NSF Grant DMS 0140578, and by the Hungarian National Foundation for Scientific Research, Grants T034878 and T049841.