Centrally Essential Group Algebras

2018/01/03 by Markov, Victor, Tuganbaev, Askar
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1801.00951

Abstract

A ring R with center C is said to be centrally essential if the module R_C is an essential extension of the module C_C. In the paper, we study groups whose group algebras over fields are centrally essential rings. We focus on the centrally essential modular group algebras of finite groups over fields of nonzero characteristic. V.T.Markov is supported by the Russian Foundation for Basic Research, project 17-01-00895-A. A.A.Tuganbaev is supported by Russian Scientific Foundation, project 16-11-10013.

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