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 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 1998, Volume 64, Issue 6, Pages 925–931 (Mi mz1471)

Center of some solvable groups with one defining relation

E. I. Timoshenko

Novosibirsk Engineering Building Institute

Abstract: Necessary and sufficient conditions for the center of a metabelian group with one defining relation to be nontrivial are found. The center of such a group is described. The center of a group of the form $F/N'\langle g\rangle^F$ is studied under certain conditions. By means of a new technique, the recent result of A. F. Krasnikov and the author on the center of a group of the above form is sharpened.

DOI: https://doi.org/10.4213/mzm1471

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English version:
Mathematical Notes, 1998, 64:6, 798–803

Bibliographic databases:

UDC: 512.544

Citation: E. I. Timoshenko, “Center of some solvable groups with one defining relation”, Mat. Zametki, 64:6 (1998), 925–931; Math. Notes, 64:6 (1998), 798–803

Citation in format AMSBIB
\Bibitem{Tim98} \by E.~I.~Timoshenko \paper Center of some solvable groups with one defining relation \jour Mat. Zametki \yr 1998 \vol 64 \issue 6 \pages 925--931 \mathnet{http://mi.mathnet.ru/mz1471} \crossref{https://doi.org/10.4213/mzm1471} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1691272} \zmath{https://zbmath.org/?q=an:0956.20027} \transl \jour Math. Notes \yr 1998 \vol 64 \issue 6 \pages 798--803 \crossref{https://doi.org/10.1007/BF02313038} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000080436700032}