# Regulator constants of integral representations of finite groups

```@article{Torzewski2018RegulatorCO,
title={Regulator constants of integral representations of finite groups},
author={Alex Torzewski},
journal={Mathematical Proceedings of the Cambridge Philosophical Society},
year={2018},
volume={168},
pages={75 - 117}
}```
• A. Torzewski
• Published 30 March 2017
• Mathematics
• Mathematical Proceedings of the Cambridge Philosophical Society
Abstract Let G be a finite group and p be a prime. We investigate isomorphism invariants of \$\mathbb{Z}_p\$[G]-lattices whose extension of scalars to \$\mathbb{Q}_p\$ is self-dual, called regulator constants. These were originally introduced by Dokchitser–Dokchitser in the context of elliptic curves. Regulator constants canonically yield a pairing between the space of Brauer relations for G and the subspace of the representation ring for which regulator constants are defined. For all G, we show…
1 Citations

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