Mathematics – Group Theory
Scientific paper
2009-03-20
J. Pure Appl. Algebra, 215 (4), 664-671 (2011)
Mathematics
Group Theory
8 pages
Scientific paper
Let $N$ be a finitely generated nilpotent group. Algorithm is constructed
such, that for every automorphism $\phi \in Aut(N)$ defines the Reidemeister
number $R(\phi).$ It is proved that any free nilpotent group of rank $r = 2$ or
$r = 3$ and class $c \geq 4r,$ or rank $r \geq 4$ and class $c \geq 2r,$
belongs to the class $R_{\infty}.$
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