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Matematicheskie Zametki, 1998, Volume 64, Issue 2, Pages 238–250
DOI: https://doi.org/10.4213/mzm1392 (Mi mzm1392) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Surgery of closed manifolds with dihedral fundamental group

Yu. V. Muranova, D. Repovšb

a Vladimir State University
b University of Ljubljana
Full-text PDF (248 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm1392
Abstract: In the paper the obstruction groups to obtaining simple homotopy equivalence by surgery from normal degree 1 maps of closed manifolds with dihedral fundamental group are computed. The cases of trivial orientation for the dihedral group and nontrivial orientation for the order 2 cyclic subgroup are considered. New results concerning the Browder–Livesey groups and natural maps of L-groups arising in index 2 inclusions of the cyclic group into the dihedral group are obtained.
Received: 14.11.1997
English version:
Mathematical Notes, 1998, Volume 64, Issue 2, Pages 202–212
DOI: https://doi.org/10.1007/BF02310307
Bibliographic databases:
UDC: 512.6
Language: Russian
Citation: Yu. V. Muranov, D. Repovš, “Surgery of closed manifolds with dihedral fundamental group”, Mat. Zametki, 64:2 (1998), 238–250; Math. Notes, 64:2 (1998), 202–212
Citation in format AMSBIB
\Bibitem{MurRep98}
\by Yu.~V.~Muranov, D.~Repov{\v s}
\paper Surgery of closed manifolds with dihedral fundamental group
\jour Mat. Zametki
\yr 1998
\vol 64
\issue 2
\pages 238--250
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\crossref{https://doi.org/10.4213/mzm1392}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1680941}
\zmath{https://zbmath.org/?q=an:0918.57011}
\transl
\jour Math. Notes
\yr 1998
\vol 64
\issue 2
\pages 202--212
\crossref{https://doi.org/10.1007/BF02310307}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000078147600028}
Linking options:
  • https://www.mathnet.ru/eng/mzm1392
  • https://doi.org/10.4213/mzm1392
  • https://www.mathnet.ru/eng/mzm/v64/i2/p238
    • This publication is cited in the following 3 articles:
    1. P. M. Akhmet'ev, Yu. V. Muranov, “Arf invariants of codimension one in a Wall group of the dihedral group”, Sb. Math., 214:5 (2023), 613–626  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. Ruini, B, “On the computation of L-groups and natural maps”, Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, 72 (2002), 297  crossref  mathscinet  zmath  isi  scopus  scopus
    3. I. Maleshich, Yu. V. Muranov, D. Repovš, “Splitting Obstruction Groups in Codimension 2”, Math. Notes, 69:1 (2001), 46–64  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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