On the p-compact groups corresponding to the p-adic reflection groups G(q, r, n)

Producció científica: Contribució a revistaArticleRecercaAvaluat per experts

6 Cites (Scopus)

Resum

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.
Idioma originalAnglès
Pàgines (de-a)2799-2819
RevistaTransactions of the American Mathematical Society
Volum358
Número7
Estat de la publicacióPublicada - 1 de jul. 2006

Fingerprint

Navegar pels temes de recerca de 'On the p-compact groups corresponding to the p-adic reflection groups G(q, r, n)'. Junts formen un fingerprint únic.

Com citar-ho