On group algebras of groups with cyclic derived subgroup

Speaker: Tibor Juhász (Institute of Mathematics, Eger, Hungary)

Time: 3:00PM
Date: Wed 23rd March 2011

Location: Mathematical Sciences Seminar Room

Let G be a p-abelian group with cyclic derived subgroup, here p is an odd prime,and let F be a field of characteristic p. Denote by FG+ the set of symmetric, by FG- the set of skew symmetric elements of the group algebra FG, with respect to the canonical involution. In this talk we determine
- the Lie derived length and the strong Lie derived length of FG;
- the Lie derived length of FG+ and FG-, provided that G is nilpotent;
- the Lie nilpotency indices of FG and FG+;
- the derived length and the nilpotency class of the unit group of FG;
- the derived length and the nilpotency class of the units of FG+,
provided that G is torsion and nilpotent group.

(This talk is part of the K-Theory, Quadratic Forms and Number Theory series.)