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Mathematics of the USSR-Izvestiya, 1973, Volume 7, Issue 1, Pages 85–90
DOI: https://doi.org/10.1070/IM1973v007n01ABEH001926 (Mi im2212) 		 
On the orders of free groups of locally finite varieties

A. Yu. Ol'shanskii
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DOI: https://doi.org/10.1070/IM1973v007n01ABEH001926
Abstract: The results of [4] are used here to show that there exists a continuum of locally finite varieties of groups with pairwise distinct “ordinal” functions, thus disproving a conjecture of G. Higman. On the other hand, an example is given of distinct varieties having the same “ordinal” function.
Received: 29.11.1971
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1973, Volume 37, Issue 1, Pages 89–94
Bibliographic databases:
UDC: 519.4
MSC: 20E05, 20E10, 20E25
Language: English
Original paper language: Russian
Citation: A. Yu. Ol'shanskii, “On the orders of free groups of locally finite varieties”, Izv. Akad. Nauk SSSR Ser. Mat., 37:1 (1973), 89–94; Math. USSR-Izv., 7:1 (1973), 85–90
Citation in format AMSBIB
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\by A.~Yu.~Ol'shanskii
\paper On the orders of free groups of locally finite varieties
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1973
\vol 37
\issue 1
\pages 89--94
\mathnet{http://mi.mathnet.ru/im2212}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=354868}
\zmath{https://zbmath.org/?q=an:0254.20016}
\transl
\jour Math. USSR-Izv.
\yr 1973
\vol 7
\issue 1
\pages 85--90
\crossref{https://doi.org/10.1070/IM1973v007n01ABEH001926}
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:240
    Russian version PDF:89
    English version PDF:9
    References:49
    First page:1
     
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