The computation of 𝑊_{∗}(𝜋,𝜔;𝑍) for 𝜋 an abelian 2-group

Author:

Gibbs David E.

Abstract

Let π \pi be a finite abelian 2-group and ω : π Z 2 = { + 1 , 1 } \omega :\pi \to {Z_2} = \{ + 1, - 1\} be a nontrivial homomorphism. Under these conditions, we compute the group W ( π , ω ; Z ) {W_ \ast }(\pi ,\omega ;Z) . We also show that W 2 ( π , ω ; Z ) {W_2}(\pi ,\omega ;Z) is isomorphic to W 2 ( π , ω ; Z [ 1 2 ] ) {W_2}\left ( {\pi ,\omega ;Z\left [ {\frac {1}{2}} \right ]} \right ) .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference3 articles.

1. Witt classes of integral representations of an abelian 𝑝-group;Alexander, J. P.;Bull. Amer. Math. Soc.,1974

2. Witt classes of integral representations of an abelian 2-group;Gibbs, David E.;Proc. Amer. Math. Soc.,1978

3. \bysame, Witt classes of integral representations and orientation reversing maps (submitted).

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