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One Necessary Condition for the Regularity of a P-Group and Its Application to Wehrfritz's Problem

Описание

Тип публикации: статья из журнала

Год издания: 2022

Идентификатор DOI: 10.33048/semi.2022.19.013

Ключевые слова: chevalley group, linear group, regular p-group

Аннотация: We obtain a necessary condition for the regularity of a p- group in terms of segments of P. Hall's collection formula. For any prime number p such that (Equation Presented) is an integer, we prove that a Sylow p- subgroup of the group GLn(Zpm) is not regular if n ⩾ (p + 2)=3 and m ⩾ 3: We also list all regular Sylow p-subgroups of Показать полностьюthe Chevalley group of type G2 over the ring Zpm © 2022, Siberian Electronic Mathematical Reports. All rights reserved.

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Издание

Журнал: Siberian Electronic Mathematical Reports

Выпуск журнала: Vol. 19, Is. 1

Номера страниц: 138-163

Персоны

  • Kolesnikov S.G. (Siberian Federal University, 79, Svobodny ave., Krasnoyrsk, 660041, Russian Federation)
  • Leontiev V.M. (Siberian Federal University, 79, Svobodny ave., Krasnoyrsk, 660041, Russian Federation)

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