Semistability at the End of a Group Extension

  title={Semistability at the End of a Group Extension},
  author={Michael L Mihalik},
  • Michael L Mihalik
  • Published 2009
A 1-ended CW-complex, Q, is semistable at oo if all proper maps r. [0, oo ) -» Q are properly homotopic. If Xt and X2 are finite CW-complexes with isomorphic fundamental groups, then the universal cover of X¡ is semistable at oo if and only if the universal cover of X2 is semistable at oo. Hence, the notion of a finitely presented group being semistable at oo is well defined. We prove Main Theorem. Let 1 —»//—*G-*AT—» 1 be a short exact sequence of finitely generated infinite groups. If G is… CONTINUE READING

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