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Algebra and Discrete Mathematics, 2004, Issue 4, Pages 32–47
(Mi adm358)
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This article is cited in 1 scientific paper (total in 1 paper)
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
Abstract:
The paper is a generalization of [2]. For a group $H=\langle A|O\rangle$, conditions for the equality $\bar N_1\cap \bar N_2 = [\bar N_1,\bar N_2]$ are given in terms of pictures, where $\bar N_i$ is the normal closure of a set $\bar R_i\subset H$ for $i=1,2$.
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
Citation:
O. V. Kulikova, “On intersections of normal subgroups in groups”, Algebra Discrete Math., 2004, no. 4, 32–47
Linking options:
https://www.mathnet.ru/eng/adm358 https://www.mathnet.ru/eng/adm/y2004/i4/p32
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Abstract page: | 106 | Full-text PDF : | 67 | First page: | 1 |
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