Title : ( ON M-GROUPS AND THEIR SUBGROUPS: A REVIEW )
Authors: Abbas Jafarzadeh , L. SHAH HOSEINI ,
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Abstract
A finite group G is called an M-group, if all its complex irreducible characters are monomial; that is, they are induced by a linear character of a subgroup of G. It is known that a quotient of an M-group again is an M-group. Hence an important question arises: are the subgroups of an M-group, M-group or not? The answer is no, in general. Here, we investigate some results concerning this question.
Keywords
, Monomial character, M-Group, Hall subgroup
@inproceedings{paperid:1027596,
author = {Jafarzadeh, Abbas and L. SHAH HOSEINI},
title = {ON M-GROUPS AND THEIR SUBGROUPS: A REVIEW},
booktitle = {42nd Annual Iranian Mathematics Conference},
year = {2011},
location = {رفسنجان, IRAN},
keywords = {Monomial character; M-Group; Hall subgroup},
}
%0 Conference Proceedings
%T ON M-GROUPS AND THEIR SUBGROUPS: A REVIEW
%A Jafarzadeh, Abbas
%A L. SHAH HOSEINI
%J 42nd Annual Iranian Mathematics Conference
%D 2011
