# 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} }

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…

## One Citation

### Functoriality of motivic lifts of the canonical construction

- Mathematicsmanuscripta mathematica
- 2019

Let $$(G,{\mathfrak {X}})$$
(
G
,
X
)
be a Shimura datum and K a neat open compact subgroup of $$G(\mathbb {A}_f)$$
G
(
A
f
)
. Under mild hypothesis on $$(G,{\mathfrak {X}})$$
(
G
,
X
)
,…

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