This article is cited in 1 paper

Modular permutation representations of $\operatorname {PSL}(n,p)$

K. S. Abdukhalikov

Institute of Pure and Applied Mathematics

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

UDC: 512.54

MSC: 20C10, 20C20, 11H56, 20G05

Received: 07.12.1996

DOI: 10.4213/sm237

 English version: Sbornik: Mathematics, 1997, 188:8, 1107–1117

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