Conjugacy classes of centralizers in the group of upper triangular matrices

Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/2310

Full metadata record

DC Field	Value	Language
dc.contributor.author	Bhunia, Sushil	-
dc.date.accessioned	2020-11-27T05:40:11Z	-
dc.date.available	2020-11-27T05:40:11Z	-
dc.date.issued	2019	-
dc.identifier.citation	Journal of Algebra and its Applications, 19(1).	en_US
dc.identifier.other	https://doi.org/10.1142/S0219498820500085	-
dc.identifier.uri	https://www.worldscientific.com/doi/10.1142/S0219498820500085	-
dc.identifier.uri	http://hdl.handle.net/123456789/2310	-
dc.description.abstract	Let 𝐺 be a group. Two elements 𝑥,𝑦∈𝐺 are said to be in the same 𝑧-class if their centralizers in 𝐺 are conjugate within 𝐺. In this paper, we prove that the number of 𝑧-classes in the group of upper triangular matrices is infinite provided that the field is infinite and size of the matrices is at least 6, and finite otherwise.	en_US
dc.language.iso	en	en_US
dc.publisher	World Scientific	en_US
dc.subject	Upper triangular matrices	en_US
dc.subject	Conjugacy classes	en_US
dc.subject	𝑧-classes	en_US
dc.title	Conjugacy classes of centralizers in the group of upper triangular matrices	en_US
dc.type	Article	en_US
Appears in Collections:	Research Articles

Files in This Item:

File	Description	Size	Format
Need to add pdf.odt		8.63 kB	OpenDocument Text	View/Open