V. I. Zenkov, “On intersection of two nilpotent subgroups in finite group with socle $\Omega_8^+(2)$, $E_6(2)$ or $E_7(2)$”, Sib. Èlektron. Mat. Izv., 14 (2017), 1424

Loading [MathJax]/jax/output/CommonHTML/jax.js

Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 1424–1433
DOI: https://doi.org/10.17377/semi.2017.14.121 (Mi semr880)

This article is cited in 3 scientific papers (total in 3 papers)

Mathematical logic, algebra and number theory

On intersection of two nilpotent subgroups in finite group with socle

$\Omega_8^+(2)$ ,

$E_6(2)$ or

$E_7(2)$

V. I. Zenkov^ab

^a N.N.Krasovskii Institute of Mathematics and Mechanics, S.Kovalevskoi street, 16, Ekaterinburg, Russia
^b Yeltsin Ural Federal University, Mira street, 19, Ekaterinburg, Russia

Full-text PDF (179 kB) Citations (3)

References:

PDF

HTML

DOI: https://doi.org/10.17377/semi.2017.14.121

Abstract: Let

$G$ be a finite group with the socle

$\Omega_8^+(2)$ ,

$E_6(2)$ or

$E_7(2)$ . In this paper, it is given a description of all pairs

$(A, B)$ of nilpotent subgroups

$A$ and

$B$ of

$G$ such that

$A\bigcap B^g\ne1$ for any

$g\in G$ .

Keywords: finite group, nilpotent subgroup, intersection of subgroups.

Funding agency	Grant number
Russian Science Foundation	15-11-10025
Ministry of Education and Science of the Russian Federation	02.А03.21.0006

Received November 21, 2017, published December 12, 2017

Document Type: Article

UDC: 512.542

MSC: 20D06, 20D15

Language: Russian

Citation: V. I. Zenkov, “On intersection of two nilpotent subgroups in finite group with socle

$\Omega_8^+(2)$ ,

$E_6(2)$ or

$E_7(2)$ ”, Sib. Èlektron. Mat. Izv., 14 (2017), 1424–1433

Citation in format AMSBIB

\Bibitem{Zen17}

\by V.~I.~Zenkov

\paper On intersection of two nilpotent subgroups in finite group with socle $\Omega_8^+(2)$, $E_6(2)$ or $E_7(2)$

\jour Sib. \`Elektron. Mat. Izv.

\yr 2017

\vol 14

\pages 1424--1433

\mathnet{http://mi.mathnet.ru/semr880}

\crossref{https://doi.org/10.17377/semi.2017.14.121}

Linking options:

https://www.mathnet.ru/eng/semr880

https://www.mathnet.ru/eng/semr/v14/p1424

This publication is cited in the following 3 articles:

V. I. Zenkov, “On Intersections of Nilpotent Subgroups in Finite Groups with Simple Socle from the “Atlas of Finite Groups””, Proc. Steklov Inst. Math. (Suppl.), 323, suppl. 1 (2023), S321–S332
V. I. Zenkov, “Intersections of three nilpotent subgroups in a finite group”, Siberian Math. J., 62:4 (2021), 621–637
V. I. Zenkov, “Intersections of nilpotent subgroups in finite groups with sporadic socle”, Algebra and Logic, 59:4 (2020), 313–321

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	259
Full-text PDF :	66
References:	66

Что такое QR-код?

Registration to the website

Logotypes