CLASS PRESERVING AUTOMORPHISMS OF UNITRIANGULAR GROUPS-Reference-Cited by-同舟云学术

CLASS PRESERVING AUTOMORPHISMS OF UNITRIANGULAR GROUPS

Published:2012-05 Issue:03 Volume:22 Page:1250023
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

BARDAKOV VALERIY¹²,VESNIN ANDREI¹³,YADAV MANOJ K.⁴

Affiliation:

1. Sobolev Institute of Mathematics, pr. ak. Koptyuga 4, Novosibirsk, 630090, Russia

2. Novosibirsk State University, Novosibirsk, 630090, Russia

3. Omsk State Technical University, pr. Mira 11, Omsk, 644050, Russia

4. School of Mathematics, Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad–211 019, India

Abstract

Let UTn(K) be a unitriangular group over a field K. We prove that the group of all class preserving automorphisms of UTn(K) is equal to Inn ( UTn(K)) if and only if K is a prime field. Let [Formula: see text], where γ3( UTn(𝔽pm)) denotes the third term of the lower central series of UTn(𝔽pm). We calculate the group of all class preserving automorphisms and class preserving outer automorphisms of [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196712500233

Reference25 articles.

1. Normal automorphisms of free Burnside groups

2. Power automorphisms of a group

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