![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
Abstract
The length of group algebras for the dihedral groups is calculated in the semi-simple case. For arbitrary n > 2, we prove that the length of the group algebra of the dihedral group of order 2n over an arbitrary field of a characteristic not dividing 2n is equal to n.
Acknowledgment
The authors are grateful to Prof. A.E. Guterman for valuable comments and suggestions during the preparation of the paper and to the referee for numerous useful suggestions substantially improving the paper.
Additional information
Funding
This research is financially supported by Russian Science Foundation grant 17-11-01124.