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Mathematics of the USSR-Izvestiya, 1968, Volume 2, Issue 4, Pages 935–942
DOI: https://doi.org/10.1070/IM1968v002n04ABEH000681 (Mi im2500) 		 
This article is cited in 12 scientific papers (total in 13 papers)

Defining relations and the word problem for free periodic groups of odd order

P. S. Novikov, S. I. Adian
English version PDF (417 kB) Citations (13)
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DOI: https://doi.org/10.1070/IM1968v002n04ABEH000681
Abstract: We prove that the free periodic group of odd order $n\geqslant4381$ with $m>1$ generators cannot be given by a finite number of defining relations. The word problem for these groups is solvable.
Received: 19.03.1968
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1968, Volume 32, Issue 4, Pages 971–979
Bibliographic databases:
Document Type: Article
UDC: 519.4
MSC: 20F05, 20F50, 20D10
Language: English
Original paper language: Russian
Citation: P. S. Novikov, S. I. Adian, “Defining relations and the word problem for free periodic groups of odd order”, Izv. Akad. Nauk SSSR Ser. Mat., 32:4 (1968), 971–979; Math. USSR-Izv., 2:4 (1968), 935–942
Citation in format AMSBIB
\Bibitem{NovAdi68}
\by P.~S.~Novikov, S.~I.~Adian
\paper Defining relations and the word problem for free periodic groups of odd order
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1968
\vol 32
\issue 4
\pages 971--979
\mathnet{http://mi.mathnet.ru/im2500}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=251113}
\zmath{https://zbmath.org/?q=an:0194.03302}
\transl
\jour Math. USSR-Izv.
\yr 1968
\vol 2
\issue 4
\pages 935--942
\crossref{https://doi.org/10.1070/IM1968v002n04ABEH000681}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:681
    Russian version PDF:206
    English version PDF:10
    References:46
    First page:3
     
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