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On Extension of a Regular Automorphism

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Abstract

Given a regular automorphism of a normal abelian subgroup of a periodic group, we find some sufficient conditions for the possibility of extending the automorphism to the whole group.

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References

  1. Hall M., The Theory of Groups, Chelsea, New York (1976).

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Funding

Lytkina was supported by the State Task no. 071–03–2023–001 of 19.01.2023. Mazurov was supported by the RAS Fundamental Research Program (Project FWNF–2022–0002).

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    D. V. Lytkina & V. D. Mazurov

  2. Siberian State University of Telecommunications and Information Sciences, Novosibirsk, Russia

    D. V. Lytkina & V. D. Mazurov

Authors
  1. D. V. Lytkina
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  2. V. D. Mazurov
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Corresponding author

Correspondence to D. V. Lytkina.

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, 2023, Vol. 64, No. 4, pp. 770–772. https://doi.org/10.33048/smzh.2023.64.409

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Lytkina, D.V., Mazurov, V.D. On Extension of a Regular Automorphism. Sib Math J 64, 877–878 (2023). https://doi.org/10.1134/S0037446623040092

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  • DOI: https://doi.org/10.1134/S0037446623040092

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