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Fundamentalnaya i Prikladnaya Matematika, 2014, Volume 19, Issue 6, Pages 115–123
(Mi fpm1616)
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This article is cited in 8 scientific papers (total in 8 papers)
On intersection of primary subgroups of odd order in finite almost simple groups
V. I. Zenkovab, Ya. N. Nuzhinc a Ural Federal University, Ekaterinburg
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
c Siberian Federal University, Krasnoyarsk
Abstract:
We consider the question of the determination of subgroups $A$ and $B$ such that $A\cap B^g\ne1$ for any $g\in G$ for a finite almost simple group $G$ and its primary subgroups $A$ and $B$ of odd order. We prove that there exist only four possibilities for the ordered pair $(A,B)$.
Citation:
V. I. Zenkov, Ya. N. Nuzhin, “On intersection of primary subgroups of odd order in finite almost simple groups”, Fundam. Prikl. Mat., 19:6 (2014), 115–123; J. Math. Sci., 221:3 (2017), 384–390
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https://www.mathnet.ru/eng/fpm1616 https://www.mathnet.ru/eng/fpm/v19/i6/p115
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Abstract page: | 339 | Full-text PDF : | 131 | References: | 53 |
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