MINIMAL POLYNOMIALS AND EIGENVALUES OF p-ELEMENTS IN REPRESENTATIONS OF QUASI-SIMPLE GROUPS WITH A CYCLIC SYLOW p-SUBGROUP

A. E. ZALESSKIIˇ

doi:10.1112/S0024610799007498

Abstract

The aim of this paper is to determine the minimal polynomials of p-elements in irreducible representations of quasi-simple groups with a cyclic Sylow p-subgroup. We consider both the characteristic 0 and characteristic p cases; we have no results for representations over fields of other characteristics. It suffices to describe the cases where the degree of the polynomial is less than the order of the element.

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MINIMAL POLYNOMIALS AND EIGENVALUES OF p-ELEMENTS IN REPRESENTATIONS OF QUASI-SIMPLE GROUPS WITH A CYCLIC SYLOW p-SUBGROUP

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MINIMAL POLYNOMIALS AND EIGENVALUES OF p-ELEMENTS IN REPRESENTATIONS OF QUASI-SIMPLE GROUPS WITH A CYCLIC SYLOW p-SUBGROUP

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