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Free products with amalgamation and $\lowercase{p}$-adic Lie groups |
Canad. Math. Bull. 41(1998), 423-433
Published:1998-12-01
Printed: Dec 1998
Printed: Dec 1998
- D. D. Long
- A. W. Reid
Abstract
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.
| MSC Classifications: | 20E06 - Free products, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations |