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Displaying similar documents to “The cyclotomic identity and the cyclic group.”

Product splittings for p-compact groups

W. Dwyer, C. Wilkerson (1995)

Fundamenta Mathematicae

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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.