On Intersection of Primary Subgroups of Odd Order in Finite Almost Simple Groups

Zenkov, V. I.; Nuzhin, Y. N.

doi:10.1007/s10958-017-3232-8

Please use this identifier to cite or link to this item: http://elar.urfu.ru/handle/10995/111988

Title:	On Intersection of Primary Subgroups of Odd Order in Finite Almost Simple Groups
Authors:	Zenkov, V. I. Nuzhin, Y. N.
Issue Date:	2017
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.
URI:	http://elar.urfu.ru/handle/10995/111988
Access:	info:eu-repo/semantics/openAccess
RSCI ID:	29477228
SCOPUS ID:	85009921609
PURE ID:	1813964
ISSN:	1072-3374
DOI:	10.1007/s10958-017-3232-8
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 ученых УрФУ, проиндексированные в SCOPUS и WoS CC

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