There exists an infinite family of p-compact groupe whose Weyl groups correspond to the finite p-adic peeudoreflection groups G(q, r, n) of family 2a in the Clark-Ewing fist. In this paper we study these p-compact groups. In particular, we construct an analog of the classical Whitney sum map, a family of monomorphisms and a spherical fibration which produces an analog of the classical J-homomorphism. Finally, we also describe a faithful complexification homomorphism from these p-compact groups to the p-completion of unitary compact Lie groups. © 2006 American Mathematical Society.
|Journal||Transactions of the American Mathematical Society|
|Publication status||Published - 1 Jul 2006|
- Classifying space
- P-compact group
- Spherical fibration