Group algebras whose groups of normalized units have exponent 4

2016/06/24 by Bovdi, V. A., Salim, M. A.
#16S34 #16U60 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1606.07589

Abstract

We give a full description of locally finite p-groups G such that the normalized group of units V(FG) of the group algebra FG over a field F of characteristic p has exponent 4.

Related

• Group algebra whose unit group is locally nilpotent
• Group algebras whose group of units is powerful
• Group algebras with unit group of class p
• A class of finite p-groups and the normalized unit groups of group algebras
• On the unit group of a commutative group ring