Conjugacy classes of centralizers in the group of upper triangular matrices

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DC Field	Value	Language
dc.contributor.author	Bhunia, Sushil	-
dc.date.accessioned	2020-12-29T10:39:51Z	-
dc.date.available	2020-12-29T10:39:51Z	-
dc.date.issued	2020	-
dc.identifier.citation	Journal of Algebra and its Applications 19(1),2050008	en_US
dc.identifier.other	https://doi.org/10.1142/S0219498820500085	-
dc.identifier.uri	https://www.worldscientific.com/doi/abs/10.1142/S0219498820500085	-
dc.identifier.uri	http://hdl.handle.net/123456789/3445	-
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	z-classes	en_US
dc.subject	Conjugacy 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

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