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Weierstrass polynomials and coverings of compact groups

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Abstract

We consider the finite-sheeted covering mappings of connected compact abelian groups and prove that each of the mappings is defined up to equivalence by a finite collection of Weierstrass polynomials whose coefficients are characters of the group.

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Author information

Authors and Affiliations

  1. Kazan (Volga Region) Federal University, Kazan, Russia

    R. N. Gumerov

Authors
  1. R. N. Gumerov
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Corresponding author

Correspondence to R. N. Gumerov.

Additional information

The author was supported by the Russian Foundation for Basic Research (Grant 12-01-97016)

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 54, No. 2, pp. 320–324, March–April, 2013.

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Gumerov, R.N. Weierstrass polynomials and coverings of compact groups. Sib Math J 54, 243–246 (2013). https://doi.org/10.1134/S0037446613020080

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  • DOI: https://doi.org/10.1134/S0037446613020080

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