The structure of p-local compact groups of rank 1
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Alex González
Abstract
Let p be a fixed prime number. The main purpose of this paper is to introduce irreduciblep-local compact groups and to describe all p-local compact groups of rank 1 in terms of this concept.
Funding source: FEDER/MEC
Award Identifier / Grant number: MTM2010-20692
Funding source: SGR2009-1092
Funding source: FEDER
Award Identifier / Grant number: UNAB10-4E-378
The author would especially like to thank Carles Broto, Ran Levi and Bob Oliver for many useful discussions. The author would like to thank also Assaf Libman and Andy Chermak, who have contributed with many ideas. This paper is the result of intermittent work that has taken place in the following universities, all of which deserve recognition: Universitat Autonoma de Barcelona, Aberdeen University, Hebrew University of Jerusalem, Ben Gurion University of the Negev, and Kansas State University.
© 2016 by De Gruyter
Artikel in diesem Heft
- Frontmatter
- Ring class invariants over imaginary quadratic fields
- The structure of p-local compact groups of rank 1
- Sampling and interpolation on some nilpotent Lie groups
- Topology of moduli spaces of free group representations in real reductive groups
- Finite symmetries of S4
- Variations of Minkowski's theorem on successive minima
- A one-relator group with long lower central series
- On transfinite nilpotence of the Vogel–Levine localization
- Time inhomogeneous generalized Mehler semigroups and skew convolution equations
- Specifying the Auslander–Reiten translation for complexes of modules
- Second order elliptic operators with diffusion coefficients growing as |x|α at infinity
- On the fourth derivative test for exponential sums
Artikel in diesem Heft
- Frontmatter
- Ring class invariants over imaginary quadratic fields
- The structure of p-local compact groups of rank 1
- Sampling and interpolation on some nilpotent Lie groups
- Topology of moduli spaces of free group representations in real reductive groups
- Finite symmetries of S4
- Variations of Minkowski's theorem on successive minima
- A one-relator group with long lower central series
- On transfinite nilpotence of the Vogel–Levine localization
- Time inhomogeneous generalized Mehler semigroups and skew convolution equations
- Specifying the Auslander–Reiten translation for complexes of modules
- Second order elliptic operators with diffusion coefficients growing as |x|α at infinity
- On the fourth derivative test for exponential sums
