Product splittings for $p$-compact groups

Volume 147 / 1995

W. G. Dwyer, C. W. Wilkerson Fundamenta Mathematicae 147 (1995), 279-300 DOI: 10.4064/fm_1995_147_3_1_279_300

Abstract

We show that a connected p-compact group with a trivial center is equivalent to a product of simple p-compact groups. More generally, we show that product splittings of any connected p-compact group correspond bijectively to algebraic splittings of the fundamental group of the maximal torus as a module over the Weyl group. These are analogues for p-compact groups of well-known theorems about compact Lie groups.

Authors

  • W. G. Dwyer
  • C. W. Wilkerson

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