On intersections of normal subgroups in groups

O. V. Kulikova

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

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