p-power conjugacy classes in U(n, q) and T(n, q)

dc.contributor.author	Dolfi, Silvio	en_US
dc.contributor.author	SINGH, ANUPAM KUMAR	en_US
dc.contributor.author	Yadav, Manoj K.	en_US
dc.date.accessioned	2021-06-25T11:17:14Z
dc.date.available	2021-06-25T11:17:14Z
dc.date.issued	2021-07	en_US
dc.identifier.citation	Journal of Algebra and its Applications, 20(7), 2150121.	en_US
dc.identifier.issn	0219-4988	en_US
dc.identifier.issn	1793-6829	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5981
dc.identifier.uri	https://doi.org/10.1142/S0219498821501218	en_US
dc.description.abstract	Let q be a p-power where p is a fixed prime. In this paper, we look at the p-power maps on unitriangular group U(n,q) and triangular group T(n,q). In the spirit of Borel dominance theorem for algebraic groups, we show that the image of this map contains large size conjugacy classes. For the triangular group we give a recursive formula to count the image size.	en_US
dc.language.iso	en	en_US
dc.publisher	World Scientific Publishing	en_US
dc.subject	Word map	en_US
dc.subject	Triangular group	en_US
dc.subject	Unitriangular group	en_US
dc.subject	2021-JUN-WEEK4	en_US
dc.subject	TOC-JUN-2021	en_US
dc.subject	2021	en_US
dc.title	p-power conjugacy classes in U(n, q) and T(n, q)	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Journal of Algebra and its Applications	en_US
dc.publication.originofpublisher	Foreign	en_US