On intersections of normal subgroups in groups
Algebra and discrete mathematics, no. 4 (2004), pp. 32-47
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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.
O. V. Kulikova. On intersections of normal subgroups in groups. Algebra and discrete mathematics, no. 4 (2004), pp. 32-47. http://geodesic.mathdoc.fr/item/ADM_2004_4_a2/
@article{ADM_2004_4_a2,
author = {O. V. Kulikova},
title = {On intersections of normal subgroups in groups},
journal = {Algebra and discrete mathematics},
pages = {32--47},
year = {2004},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2004_4_a2/}
}