This article is cited in 21 papers

On abelian subgroups and the conjugacy problem in free periodic groups of odd order

P. S. Novikov, S. I. Adian


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.

UDC: 519.4

MSC: 20K27, 20E45, 20F50, 20F10

Received: 06.05.1968

 English version: Mathematics of the USSR-Izvestiya, 1968, 2:5, 1131–1144

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