THE CLASS PRESERVING AUTOMORPHISMS OF THE UPPER UNITRIANGULAR MATRIX GROUP

JP Journal of Algebra Number Theory and Applications 2026 Open access

Read full text
Authors: QIN Xin, Zhang Kaiyan, LUO Xiaoliang
DOI: 10.17654/0972555526013
Cited by: 0

Abstract

Let be an upper unitriangular matrix group over a field , where We prove that every basis conjugating automorphism of is class preserving. More specifically, we show that is an elementary abelian -group of order and the order of Out is , where .

Fields of Study & Subjects

Finite Group Theory Research Advanced Algebra and Geometry Advanced Topics in Algebra

Publication details

Journal / source
JP Journal of Algebra Number Theory and Applications
Volume
65
Issue
2
Pages
245–255
Publication date
13 January 2026