On the unit group of a commutative group ring

2013/05/14 by Victor Bovdi, Bovdi, V., M. Salim +1
Computer Science · Engineering · Mathematics · #16S34 #16U60 #20C05 #Coding theory and cryptography #Commutative Algebra (math.AC) #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Rings and Algebras (math.RA) #graph theory and CDMA systems

paper · doi:10.48550/arxiv.1305.3179

openalex publication_date 2013/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the group of normalized units of the group algebra ℤ_p^eG of a finite abelian p-group G over the ring ℤ_p^e of residues modulo p^e with e≥ 1.

Related

• Units of commutative group algebra with involution
• A class of finite p-groups and the normalized unit groups of group algebras
• Unit Groups of Some Group Rings
• On the Structure of the Generalized Group of Units
• p-subgroups of units in ℤG