On the regular Sylow p-subgroups of Chevalley groups over mathbb{Z}_{p^m } |
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Authors: | S. G. Kolesnikov |
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Affiliation: | (1) Krasnoyarsk State University, Krasnoyarsk, Russia |
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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. |
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Keywords: | regular p-group powerful p-group Sylow p-subgroup |
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