Parasurface groups

Details Parasurface groups Parasurface groups

2009-08-12

arxiv.org/abs/0908.1808v1

Mathematics

Group Theory

6 pages

Scientific paper

10.2140/pjm.2010.248.23

A residually nilpotent group is \emph{$k$-parafree} if all of its lower
central series quotients match those of a free group of rank $k$. Magnus proved
that $k$-parafree groups of rank $k$ are themselves free. We mimic this theory
with surface groups playing the role of free groups. Our main result shows that
the analog of Magnus' Theorem is false in this setting.

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