P-ADIC LATTICES OF PSEUDO REFLECTION GROUPS
D. Notbohm
Let U be a vector space over the $p$--adic rationals,
and let $W --> Gl(U)$ be faithful representation of a finite group
such that $W$ is generated by pseudo reflections.
For odd primes we study the $p$-adic $W$-sublattice of this representation and achieve a complete classification. Examples of such situations are given by
the Weyl group acting on the 1-dimesional homology of the maximal torus of
a compact connected Lie group, or of the so called
$p$--compact groups, a homotopy theoretic
generalisation of compact Lie groupss. The associated lattices are an
important algebraic
invariant in the study of these geometric object.