Let G be a finite group acting faithfully on a finite vector space M in such a way that the centralizer of every element of M contains a Sylow q-subgroup of G as a central subgroup (for a fixed prime divisor q of |G| with (q, |M|) 1). Then G is isomorphic to a subgroup of the semi-linear group on M.

Some linear actions of finite groups with q′-orbits / C.Casolo. - In: JOURNAL OF GROUP THEORY. - ISSN 1433-5883. - STAMPA. - 13:(2010), pp. 503-534. [10.1515/JGT.2010.003]

Some linear actions of finite groups with q′-orbits

CASOLO, CARLO
2010

Abstract

Let G be a finite group acting faithfully on a finite vector space M in such a way that the centralizer of every element of M contains a Sylow q-subgroup of G as a central subgroup (for a fixed prime divisor q of |G| with (q, |M|) 1). Then G is isomorphic to a subgroup of the semi-linear group on M.
2010
13
503
534
C.Casolo
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/395268
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