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Mathematical Notes

, Volume 64, Issue 6, pp 798–803 | Cite as

Center of some solvable groups with one defining relation

  • E. I. Timoshenko
Article

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 formF/N′〈g〉 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.

Key words

metabelian group free group center of a group n-solvable group defining relations 

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Copyright information

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • E. I. Timoshenko
    • 1
  1. 1.Novosibirsk State Academy of ConstructionUSSR

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