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|Title:||On Intersection of Primary Subgroups of Odd Order in Finite Almost Simple Groups|
|Authors:||Zenkov, V. I.|
Nuzhin, Y. N.
|Publisher:||Springer New York LLC|
Springer Science and Business Media LLC
|Citation:||Zenkov V. I. On Intersection of Primary Subgroups of Odd Order in Finite Almost Simple Groups / V. I. Zenkov, Y. N. Nuzhin // Journal of Mathematical Sciences (United States). — 2017. — Vol. 221. — Iss. 3. — P. 384-390.|
|Abstract:||We consider the question of the determination of subgroups A and B such that A∩Bg ≠ 1 for any g ∈ 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). © 2017, Springer Science+Business Media New York.|
|metadata.dc.description.sponsorship:||The work of the first author is supported by RFBR (project 13-01-00469), by the Program of the Division of Mathematical Sciences of RAS (project 12-T-1-10003), by the Program of the Joint Investigations of RAS with SB RAS (project 12-C-1-1018) and with UB Belarussian National Academy of Sciences (project 12-C-1-1009) and by the Program of the State support of leading universities of Russia (agreement No. 02.A03.210006 from 27.08.2013). The work of the second author is supported by RFBR (project 12-01-00968-a).|
|Appears in Collections:||Научные публикации, проиндексированные в SCOPUS и WoS CC|
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