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The abstract commensurator of Baumslag–Solitar groups

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Algebra and Logic Aims and scope

Presentations are found for automorphism groups of all subgroups of finite index in the Baumslag–Solitar group with coprime integer parameters not equal to 0, 1, and −1. An abstract commensurator of Baumslag–Solitar groups with the same parameters is described.

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Authors and Affiliations

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

    F. A. Dudkin

  2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

    F. A. Dudkin

Authors
  1. F. A. Dudkin
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Correspondence to F. A. Dudkin.

Additional information

Dedicated to V. D. Mazurov on the occasion of his 70th birthday

Supported by RFBR (project Nos. 12-01-31222, 12-01-90006-Bel−a, and 12-01-33102) and by the Federal Program “Scientific and Scientific-Pedagogical Cadres of Innovative Russia” for 2009–2013 (gov. contract No. 14.740.11.1510).

Translated from Algebra i Logika, Vol. 52, No. 1, pp. 64–83, January-February, 2013.

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Dudkin, F.A. The abstract commensurator of Baumslag–Solitar groups. Algebra Logic 52, 46–60 (2013). https://doi.org/10.1007/s10469-013-9218-9

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  • DOI: https://doi.org/10.1007/s10469-013-9218-9

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