Abstract:
We prove the finiteness of any abelian subgroup of a free periodic group of odd order $n
\geqslant4381$. We also show that for these groups the conjugacy problem is solvable.
Citation:
P. S. Novikov, S. I. Adian, “On abelian subgroups and the conjugacy problem in free periodic
groups of odd order”, Math. USSR-Izv., 2:5 (1968), 1131–1144
\Bibitem{NovAdi68}
\by P.~S.~Novikov, S.~I.~Adian
\paper On abelian subgroups and the conjugacy problem in free periodic
groups of odd order
\jour Math. USSR-Izv.
\yr 1968
\vol 2
\issue 5
\pages 1131--1144
\mathnet{http://mi.mathnet.ru/eng/im2512}
\crossref{https://doi.org/10.1070/IM1968v002n05ABEH000722}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=233876}
\zmath{https://zbmath.org/?q=an:0204.34102}
Linking options:
https://www.mathnet.ru/eng/im2512
https://doi.org/10.1070/IM1968v002n05ABEH000722
https://www.mathnet.ru/eng/im/v32/i5/p1176
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