Rank 3 permutation modules of the finite classical groups

Peter Sin; Pham Huu Tiep

doi:10.1016/j.jalgebra.2005.02.005

Rank 3 permutation modules of the finite classical groups

Peter Sin
, Pham Huu Tiep

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

22 Scopus citations

Abstract

The cross-characteristic permutation modules for the actions of the finite classical groups on singular 1-spaces of their natural modules are studied. The composition factors and submodule lattices are determined.

Original language	English (US)
Pages (from-to)	551-606
Number of pages	56
Journal	Journal of Algebra
Volume	291
Issue number	2
DOIs	https://doi.org/10.1016/j.jalgebra.2005.02.005
State	Published - Sep 15 2005
Externally published	Yes

Keywords

Finite classical group
Rank 3 permutation module

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2005.02.005

Cite this

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title = "Rank 3 permutation modules of the finite classical groups",

abstract = "The cross-characteristic permutation modules for the actions of the finite classical groups on singular 1-spaces of their natural modules are studied. The composition factors and submodule lattices are determined.",

keywords = "Finite classical group, Rank 3 permutation module",

author = "Peter Sin and Tiep, \{Pham Huu\}",

note = "Funding Information: The authors gratefully acknowledge the support of the NSF (grants DMS-0071060 and DMS-0070647), and the NSA (grant H98230-04-0066). They are also grateful to the referee for his careful reading of the manuscript and helpful suggestions for settling the previously open case of odd-dimensional unitary groups.",

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doi = "10.1016/j.jalgebra.2005.02.005",

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AU - Sin, Peter

AU - Tiep, Pham Huu

N1 - Funding Information: The authors gratefully acknowledge the support of the NSF (grants DMS-0071060 and DMS-0070647), and the NSA (grant H98230-04-0066). They are also grateful to the referee for his careful reading of the manuscript and helpful suggestions for settling the previously open case of odd-dimensional unitary groups.

PY - 2005/9/15

Y1 - 2005/9/15

N2 - The cross-characteristic permutation modules for the actions of the finite classical groups on singular 1-spaces of their natural modules are studied. The composition factors and submodule lattices are determined.

AB - The cross-characteristic permutation modules for the actions of the finite classical groups on singular 1-spaces of their natural modules are studied. The composition factors and submodule lattices are determined.

KW - Finite classical group

KW - Rank 3 permutation module

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UR - https://www.scopus.com/pages/publications/23944471845#tab=citedBy

U2 - 10.1016/j.jalgebra.2005.02.005

DO - 10.1016/j.jalgebra.2005.02.005

M3 - Article

AN - SCOPUS:23944471845

SN - 0021-8693

VL - 291

SP - 551

EP - 606

JO - Journal of Algebra

JF - Journal of Algebra

IS - 2

ER -

Rank 3 permutation modules of the finite classical groups

Abstract

Keywords

ASJC Scopus subject areas

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