New York Journal of Mathematics
Volume 17 (2011) 281-294

Volume 17

NYJM Home

Editorial Board

NYJM Monographs

Full Text Index

For Authors
  

Michael R. Bush, Jochen Gärtner, John Labute, and Denis Vogel

Mild 2-relator pro-p-groups

view    print

Published: April 15, 2011
Keywords: Mild pro-p-groups, Galois groups, p-extensions, restricted ramification, Galois cohomology
Subject: 11R34, 20E15, 20E18, 12G10, 20F05, 20F14, 20F40
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.
Acknowledgements

This research was partially supported by an NSERC Discovery Grant.
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