Regulator constants of integral representations of finite groups

  title={Regulator constants of integral representations of finite groups},
  author={Alex Torzewski},
  journal={Mathematical Proceedings of the Cambridge Philosophical Society},
  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… 
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