Mathematics – Rings and Algebras
Scientific paper
2005-07-13
Mathematics
Rings and Algebras
Scientific paper
Let K be a field of positive characteristic p and KG the group algebra of a group G. It is known that, if KG is Lie nilpotent, then its upper (or lower) Lie nilpotency index is at most |G'|+1, where |G'| is the order of the commutator subgroup. The authors have previously determined the groups G for which this index is maximal and here they determine the G for which it is `almost maximal', that is the next highest possible value, namely |G'|-p+2.
Bovdi Victor
Juhasz Tibor
Spinelli Ernesto
No associations
LandOfFree
Modular group algebras with almost maximal Lie nilpotency indices. I does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Modular group algebras with almost maximal Lie nilpotency indices. I, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Modular group algebras with almost maximal Lie nilpotency indices. I will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-295237