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On the regular Sylow p-subgroups of Chevalley groups over mathbb{Z}_{p^m }
Authors:S. G. Kolesnikov
Affiliation:(1) Krasnoyarsk State University, Krasnoyarsk, Russia
Abstract:We prove that a Sylow p-subgroup of the general linear group of dimension n over the residue ring modulo p m is regular for n 2 < p and powerful if and only if n = 2 and m = 1. We obtain similar results for the Sylow p-subgroups of normal types over the same ring.
Keywords:regular p-group  powerful p-group  Sylow p-subgroup
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