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International Mathematics Research Papers (2008) Vol. 2008 : article ID rpn003, 95 pages, doi:10.1093/imrp/rpn003 published on May 30, 2008
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© The Author 2008. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oxfordjournals.org.

Good Product Expansions for Tame Elements of p-Adic Groups

Jeffrey D. Adler1 and Loren Spice2

1 Department of Mathematics and Statistics, American University, 4400 Massachusetts Ave NW, Washington, DC 20016-8050, USA
2 The University of Michigan, Ann Arbor, MI 48109-1043, USA

Correspondence: Correspondence to be sent to: jadler{at}american.edu

We show that, under fairly general conditions, many elements of a p-adic group can be well approximated by a product whose factors have properties that are helpful in performing explicit character computations.


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