Title : ( On the Exponent of Nilpotent Multipliers of Finite p-Groups )
Authors: Behrooz Mashayekhy Fard ,Abstract
In this talk, by a historical reviewing on given bounds for the exponent of the Schur multiplier of a finite p -group, we present recent developments in the subject. Also, we give a bound for the exponent of the c -nilpotent multiplier (the generalization of the notion of the Schur multiplier to the variety of nilpotent groups of class at most c geq 1 .) of a finite p -group. Finally, we show that if G is a finite p -group of class at most p-1 , then the exponent of the Schur multiplier of G divides the exponent of G .
Keywords
, Schur multiplier, Nilpotent multiplier, Exponent, Finite p -groups.@inproceedings{paperid:1018294,
author = {Mashayekhy Fard, Behrooz},
title = {On the Exponent of Nilpotent Multipliers of Finite p-Groups},
booktitle = {First Biennial International Group Theory Conference 2011},
year = {2011},
location = {جوهور},
keywords = {Schur multiplier; Nilpotent multiplier; Exponent; Finite p -groups.},
}
%0 Conference Proceedings
%T On the Exponent of Nilpotent Multipliers of Finite p-Groups
%A Mashayekhy Fard, Behrooz
%J First Biennial International Group Theory Conference 2011
%D 2011