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A perfect non-topologizable group

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Abstract

The first example of a group G whose automorphism group Aut (G) admits only discrete separated topology is presented in the paper. The group G is isomorphic to Aut (G) and all elements of the group G except for the unity satisfy some equation w(x) = 1.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119899, Russia

    A. V. Trofimov

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  1. A. V. Trofimov
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Additional information

Original Russian Text © A. V. Trofimov, 2007, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2007, Vol. 62, No. 1, pp. 7–13.

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Trofimov, A.V. A perfect non-topologizable group. Moscow Univ. Math. Bull. 62, 5–11 (2007). https://doi.org/10.3103/S0027132207010020

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  • DOI: https://doi.org/10.3103/S0027132207010020

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