6533b834fe1ef96bd129e5c4
RESEARCH PRODUCT
On some recent investigations of probability in group theory
A AlghamdiD OteraFrancesco Russosubject
Settore MAT/02 - AlgebraSettore MAT/05 - Analisi MatematicaSettore MAT/03 - Geometriaprobability of commuting pairs complexesdescription
We describe some recent contributions on the probability of commuting pairs, introduced by P. Erdos, W. Gustafson and P. Turan around 1968 and 1973. Both combinatorial methods and character theory have significant application in this context and we illustrate some standard techniques and strategies, once generalizations of the probability of commuting pairs want to be studied. The importance of the subject is emphasized in some remarks and open questions, which reformulate some classical conjectures in group theory via a probabilistic approach.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-01-01 |