The permutation modules for finite (Affine) general linear groups

K. Abdukhalikov

doi:10.1007/s10958-005-0448-9

The permutation modules for finite (Affine) general linear groups

Research output: Contribution to journal › Article › peer-review

Abstract

The permutation representations of finite general linear and affine groups on the set of vectors of their standard module are studied. The permutation modules over fields and local rings are considered.

Original language	English
Pages (from-to)	5867-5884
Number of pages	18
Journal	Journal of Mathematical Sciences
Volume	131
Issue number	5
DOIs	https://doi.org/10.1007/s10958-005-0448-9
Publication status	Published - Dec 2005
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Applied Mathematics

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title = "The permutation modules for finite (Affine) general linear groups",

abstract = "The permutation representations of finite general linear and affine groups on the set of vectors of their standard module are studied. The permutation modules over fields and local rings are considered.",

author = "K. Abdukhalikov",

note = "Funding Information: Acknowledgments. This research was partially supported by the Alexander von Humboldt Foundation. I am very grateful to my host, Professor R. Scharlau, for stimulating conversations and generous hospitality.",

year = "2005",

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N1 - Funding Information: Acknowledgments. This research was partially supported by the Alexander von Humboldt Foundation. I am very grateful to my host, Professor R. Scharlau, for stimulating conversations and generous hospitality.

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N2 - The permutation representations of finite general linear and affine groups on the set of vectors of their standard module are studied. The permutation modules over fields and local rings are considered.

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The permutation modules for finite (Affine) general linear groups

Abstract

ASJC Scopus subject areas

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