The Geometric Invariants of Group Extensions Part II: Split Extensions

Details The Geometric Invariants of Group Extensions Part II: Split Extensions The Geometric Invariants of Group Extensions Part II: Split Extensions

2011-03-01

arxiv.org/abs/1103.0315v2

Mathematics

Group Theory

This paper has been withdrawn by the authors for further work on the main theorem

Scientific paper

We compute the {\Omega}^1(G) invariant when 1 {\to} H {\to} G {\to} K {\to} 1
is a split short exact sequence. We use this result to compute the invariant
for pure and full braid groups on compact surfaces. Applications to twisted
conjugacy classes and to finite generation of commutator subgroups are also
discussed.

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