Automorphisms of the Gersten Group | Sciact

Automorphisms of the Gersten Group Full article

Journal

Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260

Output data

Year: 2021, Volume: 62, Number: 3, Pages: 413-422 Pages count : 10 DOI: 10.1134/S0037446621030046

Tags

512.54; automorphism; free group; Gersten group; outer automorphism group

Authors

Dudkin F.A. ^1,2 , Shaporina E.A. ³

Affiliations

1	Sobolev Institute of Mathematics, Novosibirsk, Russian Federation
2	Omsk Division of the Sobolev Institute of Mathematics, Omsk, Russian Federation
3	Novosibirsk State University, Novosibirsk, Russian Federation

The Gersten group $ G $ is the split extension (Formula Presented.) of the free group F3 with basis {a,b,c} bythe automorphism ϕ : a → a, b → ba, c → ca2.We describe the generators and structure of the group Out(G) and prove that(Formula Presented.).

Dudkin F.A. , Shaporina E.A.
Automorphisms of the Gersten Group
Siberian Mathematical Journal. 2021. V.62. N3. P.413-422. DOI: 10.1134/S0037446621030046 WOS Scopus OpenAlex

Web of science:	WOS:000655743500004
Scopus:	2-s2.0-85106934396
OpenAlex:	W3167806694

DB	Citing
Scopus	1
Web of science	1