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arXiv · 1207.4533

Higher Indicators for the Doubles of some Totally Orthogonal Groups

Marc Keilberg
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Abstract

We investigate the indicators for certain groups of the form $\BZ_k\rtimes D_l$ and their doubles, where $D_l$ is the dihedral group of order $2l$. We subsequently obtain an infinite family of totally orthogonal, completely real groups which are generated by involutions, and whose doubles admit modules with second indicator of -1. This provides us with answers to several questions concerning the doubles of totally orthogonal finite groups.

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Marc Keilberg. 2012-07-19. Higher Indicators for the Doubles of some Totally Orthogonal Groups. https://arxiv.org/abs/1207.4533

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