Lie Derived Lengths of Group Algebras of Groups with Cyclic Derived Subgroup

Abstract

In this article the Lie derived length and the strong Lie derived length of group algebras are determined in the case when the derived subgroup of the basic group is cyclic of odd order. As a consequence, we have the characterization of the group algebras of minimal strong Lie derived length.

Key Words:

• Group algebras
• Lie derived length

2000 Mathematics Subject Classification:

• 16S34
• 17B30

ACKNOWLEDGMENT

This research was supported by the National Office for Research and Technology (NKTH, Hungary).

Notes

Communicated by V. A. Artamonov. Dedicated to Professor L. G. Kovács on his 70th birthday.