6533b7dcfe1ef96bd1271686
RESEARCH PRODUCT
Bounds for the relative n-th nilpotency degree in compact groups
F. RussoRashid Rezaeisubject
Degree (graph theory)Group (mathematics)General MathematicsProbability (math.PR)20P05 22A05 28C10 22A20 43A05Context (language use)Group Theory (math.GR)Group structureCombinatoricsLine (geometry)FOS: MathematicsMathematics - Group TheoryMathematics - ProbabilityHaar measureMathematicsdescription
The line of investigation of the present paper goes back to a classical work of W. H. Gustafson of the 1973, in which it is described the probability that two randomly chosen group elements commute. In the same work, he gave some bounds for this kind of probability, providing information on the group structure. We have recently obtained some generalizations of his results for finite groups. Here we improve them in the context of the compact groups.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-10-25 |