Title : ( Capability of Groups Satisfying a certain Bound for the Index of the Center )
Authors: Marzieh Chakaneh , اعظم کاهنی , Saeed Kayvanfar ,
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Abstract
It is shown that for a capable group $G,$ the index of the center is bounded above by the function $|G'|^{2log_{2}|G'|}$. In this talk, we intend to determine the sufficient conditions for capability of group $G$ which satisfies this inequality.
Keywords
, Capable group, Schur's theorem
@inproceedings{paperid:1057299,
author = {Chakaneh, Marzieh and اعظم کاهنی and Kayvanfar, Saeed},
title = {Capability of Groups Satisfying a certain Bound for the Index of the Center},
booktitle = {46th Annual Iranian Mathematics Conference},
year = {2015},
location = {یزد, IRAN},
keywords = {Capable group; Schur's theorem},
}
%0 Conference Proceedings
%T Capability of Groups Satisfying a certain Bound for the Index of the Center
%A Chakaneh, Marzieh
%A اعظم کاهنی
%A Kayvanfar, Saeed
%J 46th Annual Iranian Mathematics Conference
%D 2015
