Title : ( THE FRATTINI AND RESIDUALLY NILPOTENT PAIR OF GROUPS )
Authors: AZAM POURMIRZAEI , Mitra Hassanzadeh , Saeed Kayvanfar ,
Full TextAbstract
A pair of groups (G,N) is said to be nilpotent if it has a central series. A detailed study of nilpotent pair of groups has been carried out recently. Related to, some further studies is done in this paper. Topics include the generalized Baer’s theorem, Frattini of a pair of groups, residually nilpotent pair and Hopfian pair of groups.
Keywords
, Pair of groups, nilpotent pair of groups, Frattini subgroup.
@inproceedings{paperid:1041038,
author = {AZAM POURMIRZAEI and Hassanzadeh, Mitra and Kayvanfar, Saeed},
title = {THE FRATTINI AND RESIDUALLY NILPOTENT PAIR OF GROUPS},
booktitle = {The 44 th Annual Iranian Mathematics Conference},
year = {2013},
location = {مشهد, IRAN},
keywords = {Pair of groups; nilpotent pair of groups; Frattini
subgroup.},
}
%0 Conference Proceedings
%T THE FRATTINI AND RESIDUALLY NILPOTENT PAIR OF GROUPS
%A AZAM POURMIRZAEI
%A Hassanzadeh, Mitra
%A Kayvanfar, Saeed
%J The 44 th Annual Iranian Mathematics Conference
%D 2013
