On intersections of normal subgroups in groups

• Datum: 2018
• 1. Verfasser: Kulikova, O. V.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: Normal closure of sets of elements in groups; presentations of groups; pictures; mutual commutants; intersection of groups; aspherisity; 20F05
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1009
• Назва журналу: Algebra and Discrete Mathematics

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 \(i=1,2\).