On the total character of finite groups

For a finite group $G$, we study the total character $tau_G$ afforded by the direct sum of all the non-isomorphic irreducible complex representations of $G$. We resolve for several classes of groups (the Camina $p$-groups, the generalized Camina $p$-groups, the groups which admit $(G,Z(G))$ as a gen...

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Bibliographic Details
Main Authors: Sunil Kumar Prajapati, Balasubramanian Sury
Format: Article
Language:English
Published: University of Isfahan 2014-09-01
Series:International Journal of Group Theory
Subjects:
Online Access:http://www.theoryofgroups.ir/pdf_4446_e0d321ff268fc949ff98a187267f48e3.html