2007/01/30 by A. A. Bovdi, Bovdi, A., A. Szakács +1
Engineering · Mathematics · #16S34 #16U60 #20C05 #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Rings and Algebras (math.RA) #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.math/0701871
openalex publication_date 2007/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let p be an odd prime, F the field of p elements and G a finite abelian p-group with an arbitrary involutory automorphism. Extend this automorphism to the group algebra FG and consider the unitary and the symmetric normalized units of FG. This paper provides bases and determines the invariants of the two subgroups formed by these units.