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visits member for 2 years, 8 months
seen Apr 7 '13 at 19:45

I am Postgraduate Student at University of Athens


Sep
24
awarded  Autobiographer
Oct
14
comment $x$ survives in $G/G^{p}$
I think that I found a reference("Lectures notes on nilpotent groups", Baumslag). Thank you very much for your time.
Oct
13
comment $x$ survives in $G/G^{p}$
I think of that. But I think we need to distinguish cases on whether $x \in Z(G)$ and $x \notin Z(G)$. In the case that $x \notin Z(G)$ we can use the induction hypothesis, but I can't continue the argument in the case that $x \in Z(G)$.
Oct
12
asked $x$ survives in $G/G^{p}$
Sep
21
accepted each upper central quotient of $G/G^{p}$ is the corresponding upper central quotient of $G$ reduced modulo p.
Sep
21
comment each upper central quotient of $G/G^{p}$ is the corresponding upper central quotient of $G$ reduced modulo p.
It is a lemma(5.6) in the paper of D.T.Wise and T.Hsu, "Ascending HNN extensions of polycyclic group are residually finite".
Sep
20
comment each upper central quotient of $G/G^{p}$ is the corresponding upper central quotient of $G$ reduced modulo p.
Yes. Thanks a lot.
Sep
20
revised each upper central quotient of $G/G^{p}$ is the corresponding upper central quotient of $G$ reduced modulo p.
added 3 characters in body
Sep
20
asked each upper central quotient of $G/G^{p}$ is the corresponding upper central quotient of $G$ reduced modulo p.
Sep
9
comment Question about residually torsion -free nilpotent
But this group isn't finitely generated.
Sep
9
comment Question about residually torsion -free nilpotent
Thanks. Is it possible to choose $n$ such as $x \notin \gamma_{n}(G)$ and $G/ \gamma_{n}(G)$ is torsion free?
Sep
9
comment Question about residually torsion -free nilpotent
Thanks for the correction. I hope it's ok now.
Sep
9
revised Question about residually torsion -free nilpotent
added 14 characters in body
Sep
9
revised Question about residually torsion -free nilpotent
added 14 characters in body
Sep
9
awarded  Editor
Sep
9
revised Question about residually torsion -free nilpotent
edited body
Sep
9
asked Question about residually torsion -free nilpotent
Apr
22
accepted Finite-by-(abelian-by-finite)
Apr
7
comment Finite-by-(abelian-by-finite)
Ι am interested in general case. But can you give me details for f.g. case?
Apr
6
awarded  Supporter