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Locally-Dihedral 2-group

asked 2013-02-14 08:09:54 -0500

Babgen gravatar image

updated 2013-02-14 08:20:39 -0500

Let $Z_{2^{\infty}}$ be 2-prufer group. I want to define $G=Z_{2^{\infty}}$semi-direct $ b$ =$<$$a$$,b|b^2=1,b^{-1}ab=a^{-1} $, for $a$ $\in A>$ in sage. I think this is possible in GAP but I don't know how to define?

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answered 2013-02-15 09:59:43 -0500

benjaminfjones gravatar image

If you can construct your "2-prufer" group somehow (as a permutation group, as a finitely presented group, etc..) there are functions for forming semi-direct products. Check out the group theory part of the Sage manual.

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I check but I can't find any thing.

Babgen gravatar imageBabgen ( 2013-02-16 18:47:54 -0500 )edit

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Asked: 2013-02-14 08:09:54 -0500

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Last updated: Feb 15 '13