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Free Products with Amalgamation and p-Adic Lie Groups

Published online by Cambridge University Press:  20 November 2018

D. D. Long  and
A. W. Reid
D. D. Long
Affiliation:
Department of Mathematics University of California Santa Barbara, California 93106 U.S.A.
A. W. Reid
Affiliation:
Department of Mathematics University of Texas Austin, Texas 78712 U.S.A.
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Abstract

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Using the theory of $p$-adic Lie groups we give conditions for a finitely generated group to admit a splitting as a non-trivial free product with amalgamation. This can be viewed as an extension of a theorem of Bass.

Keywords

20E06
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 41 , Issue 4 , 01 December 1998 , pp. 423 - 433
Copyright
Copyright © Canadian Mathematical Society 1998

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