Title of article :
ON PAIRS OF ANTAGONISTIC SUBGROUPS AND THEIRS INFLUENCE ON THE STRUCTURE OF GROUPS
Author/Authors :
Kurdachenko ، Leonid A. Department of Algebra and Geometry - School of Mathematics and Mechanics - University of Dnipro , Longobardi ، Patrizia Dipartimento di Matematica - Universita di Salerno , Maj ، Mercede Dipartimento di Matematica - Universita di Salerno , Otal ، Javier Universidad de Zaragoza, Edificio de matematicas
Abstract :
In this survey we collect some results on the influence on the structure of a group of some families of its subgroups satisfying conditions related to normality. In particular we focus on groups whose subgroups have two antagonistic properties.
Keywords :
normal , subnormal , ascendant , descendant , selfnormalizing , abnormal , conormal , contranormal , pronormal subgroups.
Journal title :
International Journal of Group Theory
Journal title :
International Journal of Group Theory
