Unit groups of commutative modular group algebras. (English) Zbl 07910540
Summary: This paper analyzes some of the fundamental results of the unit groups of the commutative modular group algebras. We introduce a more visible and concise form of a number of these results. We consider with a corresponding justification some essentially inexact and unproved results in some papers and for certain of them either we mark the corrections or we point out the corrections, which are founded in another papers.
MSC:
| 20C07 | Group rings of infinite groups and their modules (group-theoretic aspects) |
| 20C05 | Group rings of finite groups and their modules (group-theoretic aspects) |
| 16S34 | Group rings |
| 16U60 | Units, groups of units (associative rings and algebras) |
| 20K10 | Torsion groups, primary groups and generalized primary groups |
| 20K20 | Torsion-free groups, infinite rank |
| 20K21 | Mixed groups |
| 20K25 | Direct sums, direct products, etc. for abelian groups |
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