On the conjugacy separability in the class of finite $p$-groups of finitely generated nilpotent groups

Details On the conjugacy separability in the class of finite $p$-groups of finitely generated nilpotent groups On the conjugacy separability in the class of finite $p$-groups of finitely generated nilpotent groups

2004-08-28

arxiv.org/abs/math/0408393v1

Mathematics

Group Theory

4 pages, no figures, AMSTex

Scientific paper

It is proved that for any prime $p$ a finitely generated nilpotent group is
conjugacy separable in the class of finite $p$-groups if and only if the
torsion subgroup of it is a finite $p$-group and the quotient group by the
torsion subgroup is abelian.

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