A. G. Savushkina, “On the group of conjugating automorphisms of a free group”, Mat. Zametki, 60:1 (1996), 92–108; Math. Notes, 60:1 (1996), 68

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Matematicheskie Zametki, 1996, Volume 60, Issue 1, Pages 92–108
DOI: https://doi.org/10.4213/mzm1806 (Mi mzm1806)

This article is cited in 23 scientific papers (total in 23 papers)

On the group of conjugating automorphisms of a free group

A. G. Savushkina

M. V. Lomonosov Moscow State University

Full-text PDF (209 kB) Citations (23)

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DOI: https://doi.org/10.4213/mzm1806

Abstract: The group of conjugating automorphisms of a free group and certain subgroups of this group, namely, the group of McCool basis-conjugating automorphisms and the Artin braid group are considered. The Birman theorem on the representation of a braid group by matrices is sharpened.

Received: 19.03.1993
Revised: 08.12.1994

English version:
Mathematical Notes, 1996, Volume 60, Issue 1, Pages 68–80
DOI: https://doi.org/10.1007/BF02308881

Bibliographic databases:

UDC: 512

Language: Russian

Citation: A. G. Savushkina, “On the group of conjugating automorphisms of a free group”, Mat. Zametki, 60:1 (1996), 92–108; Math. Notes, 60:1 (1996), 68–80

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Linking options:

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https://doi.org/10.4213/mzm1806

https://www.mathnet.ru/eng/mzm/v60/i1/p92

This publication is cited in the following 23 articles:

Joe Huxford, Dung Xuan Nguyen, Yong Baek Kim, “Twisted lattice gauge theory: Membrane operators, three-loop braiding, and topological charge”, Phys. Rev. B, 110:3 (2024)
Paul Martin, Eric C. Rowell, Fiona Torzewska, “Classification of charge-conserving loop braid representations”, Journal of Algebra, 2024
Celeste Damiani, Paul Martin, Eric C. Rowell, “Generalisations of Hecke algebras from loop braid groups”, Pacific J. Math., 323:1 (2023), 31
Joe Huxford, Steven H. Simon, “Excitations in the higher-lattice gauge theory model for topological phases. I. Overview”, Phys. Rev. B, 108:24 (2023)
Bardakov V., Emel'yanenkov I., Ivanov M., Kozlovskaya T., Nasybullov T., Vesnin A., “Virtual and Universal Braid Groups, Their Quotients and Representations”, J. Group Theory, 2022
Stavroula Makri, “The unrestricted virtual braid groups UV Bn”, J. Knot Theory Ramifications, 31:12 (2022)
Mohamad N. Nasser, Mohammad N. Abdulrahim, “On the irreducibility of the extensions of Burau and Gassner representations”, Ann Univ Ferrara, 67:2 (2021), 415
Damiani C., “A Markov'S Theorem For Extended Welded Braids and Links”, Osaka J. Math., 56:2 (2019), 255–268
Bardakov V.G., Gongopadhyay K., Neshchadim V M., “Commutator Subgroups of Virtual and Welded Braid Groups”, Int. J. Algebr. Comput., 29:3 (2019), 507–533
Bullivant A., Martins J.F., Martin P., “Representations of the Loop Braid Group and Aharonov-Bohm Like Effects in Discrete (3+1)-Dimensional Higher Gauge Theory”, Adv. Theor. Math. Phys., 23:7 (2019), 1685–1769
Damiani C., Kamada S., “On the Group of Ring Motions of An H-Trivial Link”, Topology Appl., 264 (2019), 51–65
Celeste Damiani, Springer Proceedings in Mathematics & Statistics, 284, Knots, Low-Dimensional Topology and Applications, 2019, 309
Zaremsky M.C.B., “Symmetric Automorphisms of Free Groups, Bnsr-Invariants, and Finiteness Properties”, Mich. Math. J., 67:1 (2018), 133–158
Bardakov V.G., Mikhalchishina Yu.A., Neshchadim M.V., “Representations of virtual braids by automorphisms and virtual knot groups”, J. Knot Theory Ramifications, 26:1 (2017), 1750003
Damiani C., “A Journey Through Loop Braid Groups”, Expo. Math., 35:3 (2017), 252–285
V. G. Bardakov, M. V. Neshchadim, “Subgroups, automorphisms, and Lie algebras related to the basis-conjugating automorphism group”, Algebra and Logic, 55:6 (2017), 436–460
M. V. Neschadim, “Vnutrennie avtomorfizmy i nekotorye ikh obobscheniya”, Sib. elektron. matem. izv., 13 (2016), 1383–1400
Bardakov V.G., Bellingeri P., “Groups of Virtual and Welded Links”, J. Knot Theory Ramifications, 23:3 (2014), 1450014
Bardakov, VG, “On certain questions of the free group automorphisms theory”, Communications in Algebra, 36:4 (2008), 1489
V. G. Bardakov, “Linear representations of the group of conjugating automorphisms and the braid groups of some manifolds”, Siberian Math. J., 46:1 (2005), 13–23

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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