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Matematicheskie Zametki, 1968, Volume 3, Issue 3, Pages 285–289 (Mi mzm6680)  
Automorphism matrix of a countable-dimensional torus

E. V. Maikov, G. E. Shilov

M. V. Lomonosov Moscow State University
Full-text PDF (370 kB) (1)
Abstract: It is known that an automorphism of a finite-dimensional torus is given by a square matrix with a determinant equal to $\pm1$. The present note gives an analogous description of the matrix for an automorphism of a countable-dimensional torus.
Received: 28.09.1967
English version:
Mathematical Notes, 1968, Volume 3, Issue 3, Pages 182–184
DOI: https://doi.org/10.1007/BF01387331
Bibliographic databases:
UDC: 512.4
Language: Russian
Citation: E. V. Maikov, G. E. Shilov, “Automorphism matrix of a countable-dimensional torus”, Mat. Zametki, 3:3 (1968), 285–289; Math. Notes, 3:3 (1968), 182–184
Citation in format AMSBIB
\Bibitem{MaiShi68}
\by E.~V.~Maikov, G.~E.~Shilov
\paper Automorphism matrix of a~countable-dimensional torus
\jour Mat. Zametki
\yr 1968
\vol 3
\issue 3
\pages 285--289
\mathnet{http://mi.mathnet.ru/mzm6680}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=228624}
\zmath{https://zbmath.org/?q=an:0185.07301}
\transl
\jour Math. Notes
\yr 1968
\vol 3
\issue 3
\pages 182--184
\crossref{https://doi.org/10.1007/BF01387331}
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    • This publication is cited in the following 1 articles:
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    		Математические заметки Mathematical Notes
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