Sliceable groups and towers of fields
-
Sigrid Böge
,
Moshe Jarden
Abstract
Let l be a prime number, K a finite extension of ℚl,
and D a finite-dimensional central division algebra over
K.
We prove that the profinite group
Funding source: Minerva Foundation
Award Identifier / Grant number: Minkowski Center for Geometry at Tel Aviv University
Funding statement: The second author has been supported by the Minkowski Center for Geometry at Tel Aviv University, established by the Minerva Foundation, and by an ISF grant. The third author acknowledges “Dr. Max Rössler, the Walter Haefner Foundation”, the ETH Foundation, and the ETH Institute for Theoretical Studies for support and hospitality. In addition, the author acknowledges support by ISF and NSF.
We would like to thank Wulf-Dieter Geyer, Michael Larsen, Andrei Rapinchuk, Aharon Razon, and David Zywina for helpful communications and advice.
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© 2016 by De Gruyter
Artikel in diesem Heft
- Frontmatter
- Sliceable groups and towers of fields
- Pro-Hall R-groups and groups discriminated by the free pro-p group
- Filtrations of free groups arising from the lower central series
- Prosolvability criteria and properties of the prosolvable radical via Sylow sequences
- Non-commutative lattice problems
- Conjugacy distinguished subgroups
- Diophantine questions in the class of finitely generated nilpotent groups
- Uncountably many non-commensurable finitely presented pro-p groups
- Singer torus in irreducible representations of GL(n,q)
- Virtually free pro-p products
Artikel in diesem Heft
- Frontmatter
- Sliceable groups and towers of fields
- Pro-Hall R-groups and groups discriminated by the free pro-p group
- Filtrations of free groups arising from the lower central series
- Prosolvability criteria and properties of the prosolvable radical via Sylow sequences
- Non-commutative lattice problems
- Conjugacy distinguished subgroups
- Diophantine questions in the class of finitely generated nilpotent groups
- Uncountably many non-commensurable finitely presented pro-p groups
- Singer torus in irreducible representations of GL(n,q)
- Virtually free pro-p products
