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ArticleOriginal scientific text

Title

Product splittings for p-compact groups

Authors 1, 2

Affiliations

  1. University of Notre Dame, Notre Dame, Indiana 46556, U.S.A.
  2. Purdue University, West Lafayette, Indiana 47907, U.S.A.

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.

Bibliography

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Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm147/fm14735.pdf

Fundamenta Mathematicae
1995/147/3
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Pages:
279-300
Main language of publication
English
Received
1994-08-25
Accepted
1994-12-20
Published
1995
Exact and natural sciences