Conjugacy classes of centralizers in the group of upper triangular matrices
| 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.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.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.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 |