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math.GR2011★ 2 cited
The Geometric Invariants of Group Extensions Part II: Split Extensions
Nic Koban, Peter Wong
We compute the Ω^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 o…
math.GR2011
The Geometric Invariants of Group Extensions Part I: Finite Extensions
Nic Koban, Peter Wong
In this note, we compute the Σ^1(G) invariant when 1 {\to} H {\to} G {\to} K {\to} 1 is a short exact sequence of finitely generated groups with K finite. As an application, we con…