Year: 2012
Type: article
Abstract: The present paper is the [slightly expanded] text of our talk at the Conference "Advances in Group Theory and Applications" at Porto Cesareo in June 2011. Our main results assert that [elementary] Chevalley groups very rarely have finite commutator width. The reason is that they have very few commutators, in fact, commutators have finite width in elementary generators. We discuss also the background, bounded elementary generation, methods of proof, relative analogues of these results, some positive results, and possible generalisations.
Authors: Hazrat, Roozbeh, Stepanov, Alexei, Vavilov, Nokolai, Zhang, Zuhong
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Award: 局部紧量子群的量子玻尔紧化及紧量子群的研究
OpenAlex ID: W1568938796