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Michael R. Bush, Jochen Gärtner, John Labute, and Denis Vogel
Mild 2-relator pro-p-groups view print
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| Published: |
April 15, 2011
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| Keywords: |
Mild pro-p-groups, Galois groups, p-extensions, restricted ramification, Galois cohomology |
| Subject: |
11R34, 20E15, 20E18, 12G10, 20F05, 20F14, 20F40 |
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Abstract
We give effective necessary and sufficient conditions for a
quadratically defined 2-relator pro-p-group to
be mild and apply these results to give examples of 2-extensions
with restricted ramification over an imaginary quadratic base
field for which the associated Galois group is a mild
2-relator pro-2-group.
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| Acknowledgements
This research was partially supported by an NSERC Discovery Grant.
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| Author information
Michael R. Bush:
Dept. of Mathematics & Statistics, Smith College, Northampton, MA 01062, USA
mbush@smith.edu
Jochen Gärtner:
Universität Heidelberg, Mathematisches Institut, Im Neuenheimer Feld 288, 69120 Heidelberg, Germany
gaertner@mathi.uni-heidelberg.de
John Labute:
Dept. of Mathematics & Statistics, McGill University, Burnside Hall, 805 Sherbrooke Street West, Montreal, QC H3A 2K6, Canada
labute@math.mcgill.ca
Denis Vogel:
Universität Heidelberg, Mathematisches Institut, Im Neuenheimer Feld 288, 69120 Heidelberg, Germany
vogel@mathi.uni-heidelberg.de
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