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Automorphisms of some cyclic extexsioxs of free groups OF RAXK THREE. / Shaporina, E. A.

In: Siberian Electronic Mathematical Reports, Vol. 21, No. 2, 2024, p. 1400-1413.

Research output: Contribution to journal › Article › peer-review

Harvard

Shaporina, EA 2024, 'Automorphisms of some cyclic extexsioxs of free groups OF RAXK THREE', Siberian Electronic Mathematical Reports, vol. 21, no. 2, pp. 1400-1413. https://doi.org/10.33048/semi.2024.21.088

APA

Shaporina, E. A. (2024). Automorphisms of some cyclic extexsioxs of free groups OF RAXK THREE. Siberian Electronic Mathematical Reports, 21(2), 1400-1413. https://doi.org/10.33048/semi.2024.21.088

Vancouver

Shaporina EA. Automorphisms of some cyclic extexsioxs of free groups OF RAXK THREE. Siberian Electronic Mathematical Reports. 2024;21(2):1400-1413. doi: 10.33048/semi.2024.21.088

Author

Shaporina, E. A. / Automorphisms of some cyclic extexsioxs of free groups OF RAXK THREE. In: Siberian Electronic Mathematical Reports. 2024 ; Vol. 21, No. 2. pp. 1400-1413.

BibTeX

@article{4321496f8ecf40f2a8b664762a7a4001,
title = "Automorphisms of some cyclic extexsioxs of free groups OF RAXK THREE",
abstract = "Description of the group of outer automorphisms of the Gcrstcn group was obtained by the author together with F. Dudkin in 2021 [7]. In this paper, we study the possibility of extending the methods of that work to an infinite class of cyclic extensions of a free group of rank three Gk = ha, b, c, t\N = a, bt = bak, ct = c). We have found the generating elements of the group Out(Gk) and obtained a description of the structure of this group.",
keywords = "Free group, group of outer automorphisms, split cyclic extension",
author = "Shaporina, {E. A.}",
note = "The work was supported by the Russian Science Foundation, project 24-21-00214, https://rscf.ru/en/project/24-21-00214/.",
year = "2024",
doi = "10.33048/semi.2024.21.088",
language = "English",
volume = "21",
pages = "1400--1413",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",
number = "2",

}

RIS

TY - JOUR

T1 - Automorphisms of some cyclic extexsioxs of free groups OF RAXK THREE

AU - Shaporina, E. A.

N1 - The work was supported by the Russian Science Foundation, project 24-21-00214, https://rscf.ru/en/project/24-21-00214/.

PY - 2024

Y1 - 2024

N2 - Description of the group of outer automorphisms of the Gcrstcn group was obtained by the author together with F. Dudkin in 2021 [7]. In this paper, we study the possibility of extending the methods of that work to an infinite class of cyclic extensions of a free group of rank three Gk = ha, b, c, t\N = a, bt = bak, ct = c). We have found the generating elements of the group Out(Gk) and obtained a description of the structure of this group.

AB - Description of the group of outer automorphisms of the Gcrstcn group was obtained by the author together with F. Dudkin in 2021 [7]. In this paper, we study the possibility of extending the methods of that work to an infinite class of cyclic extensions of a free group of rank three Gk = ha, b, c, t\N = a, bt = bak, ct = c). We have found the generating elements of the group Out(Gk) and obtained a description of the structure of this group.

KW - Free group

KW - group of outer automorphisms

KW - split cyclic extension

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85216992065&origin=inward&txGid=ec6265f13da763b2242b517f82ffe6f5

UR - https://www.mendeley.com/catalogue/32a5391d-6790-3382-87a7-6a326018d92d/

U2 - 10.33048/semi.2024.21.088

DO - 10.33048/semi.2024.21.088

M3 - Article

VL - 21

SP - 1400

EP - 1413

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

IS - 2

ER -

ID: 64619693