O. V. Kulikova, “On intersections of normal subgroups in groups”, Algebra Discrete Math., 2004, no. 4, 32

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Algebra and Discrete Mathematics, 2004, Issue 4, Pages 32–47 (Mi adm358)

This article is cited in 2 scientific papers (total in 2 papers)

RESEARCH ARTICLE

On intersections of normal subgroups in groups

O. V. Kulikova

Department of Mechanics and Mathematics, Moscow State University, Vorobievy Gory 1, 119992 Moscow, Russia

Full-text PDF (248 kB) Citations (2)

Abstract: The paper is a generalization of [2]. For a group

H = ⟨ A | O ⟩

$H=\langle A|O\rangle$ , conditions for the equality

{\bar{N}}_{1} \cap {\bar{N}}_{2} = [{\bar{N}}_{1}, {\bar{N}}_{2}]

$\bar N_1\cap \bar N_2 = [\bar N_1,\bar N_2]$ are given in terms of pictures, where

{\bar{N}}_{i}

$\bar N_i$ is the normal closure of a set

{\bar{R}}_{i} \subset H

$\bar R_i\subset H$ for

i = 1, 2

$i=1,2$ .

Keywords: Normal closure of sets of elements in groups, presentations of groups, pictures, mutual commutants, intersection of groups, aspherisity.

Received: 02.11.2004
Revised: 13.12.2004

Bibliographic databases:

Document Type: Article

MSC: 20F05

Language: English

Citation: O. V. Kulikova, “On intersections of normal subgroups in groups”, Algebra Discrete Math., 2004, no. 4, 32–47

Citation in format AMSBIB

\Bibitem{Kul04}

\by O.~V.~Kulikova

\paper On intersections of normal subgroups in groups

\jour Algebra Discrete Math.

\yr 2004

\issue 4

\pages 32--47

\mathnet{http://mi.mathnet.ru/adm358}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2148715}

\zmath{https://zbmath.org/?q=an:1092.20029}

Linking options:

https://www.mathnet.ru/eng/adm358

https://www.mathnet.ru/eng/adm/y2004/i4/p32

This publication is cited in the following 2 articles:

O. V. Kulikova, “O kruchenii v gruppe $F/[M,N]$ v sluchae kombinatornoi asferichnosti grupp $F/M$ i $F/N$ ”, Matem. zametki, 117:1 (2025), 99–109
O. V. Kulikova, “On relatively aspherical presentations and their central extensions”, J. Math. Sci., 142:2 (2007), 1942–1948

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

Statistics & downloads:
Abstract page:	162
Full-text PDF :	78
References:	5
First page:	1

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