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Math Help - free abelian group as semi-direct products?

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    free abelian group as semi-direct products?

    I have a HNN extension G=<t,A;t^{-1}ht=h> where A=L<h> is a semi-direct product of L by <h> and <h> is cyclic.

    G can be written as free products of A and B amalgamating <h> where B=<t,h;t^{-1}ht=h> is a free abelian group.

    Can B expressed as a semi-direct product of cyclic free group <t;-> by <h>?
    Last edited by deniselim17; July 25th 2009 at 10:47 PM.
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