Higher Indicators for the Doubles of some Totally Orthogonal Groups
Abstract
We investigate the indicators for certain groups of the form k Dl and their doubles, where Dl 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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