Conjugacy classes of centralizers in the group of upper triangular matrices

被引：4

作者：

Bhunia, Sushil ^{[1
]}

机构：

[1] IISER Mohali, Sect 81,PO Manauli, Sas Nagar 140306, Punjab, India

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2020年 / 19卷 / 01期

关键词：

Upper triangular matrices; conjugacy classes; z-classes;

D O I：

10.1142/S0219498820500085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a group. Two elements x, y is an element of G are said to be in the same z-class if their centralizers in C 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.

引用

页数：14

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