Modular permutation representations of PSL(n, p) and invariant lattices

K. S. Abdukhalikov

doi:10.1070/sm1997v188n08abeh000237

Modular permutation representations of PSL(n, p) and invariant lattices

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Abstract

Invariant lattices in the irreducible module associated with a complex permutation representation of the group PSL(n, p) (n > 2) are studied. The submodule structure of a permutation module of this group over a finite field is described.

Original language	English
Pages (from-to)	1107-1117
Number of pages	11
Journal	Sbornik Mathematics
Volume	188
Issue number	7-8
DOIs	https://doi.org/10.1070/sm1997v188n08abeh000237
Publication status	Published - 1997
Externally published	Yes

ASJC Scopus subject areas

Mathematics (miscellaneous)

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10.1070/sm1997v188n08abeh000237

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abstract = "Invariant lattices in the irreducible module associated with a complex permutation representation of the group PSL(n, p) (n > 2) are studied. The submodule structure of a permutation module of this group over a finite field is described.",

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Modular permutation representations of PSL(n, p) and invariant lattices

Abstract

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