Modular group algebras whose group of unitary units is locally nilpotent

2018/01/16 by Bovdi, Victor A.
#16S34 #20C05 #20F19 #20F45 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1801.05158

Abstract

We characterize those modular group algebras FG whose group of unitary units is locally nilpotent under the classical involution of FG.

Related

• Group algebra whose unit group is locally nilpotent
• Group algebras whose involutory units commute
• Units of commutative group algebra with involution
• Group algebras whose groups of normalized units have exponent 4
• Modular group algebras with maximal Lie nilpotency indices