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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Some amalgam structures for Bianchi groups


Authors: Charles Frohman and Benjamin Fine
Journal: Proc. Amer. Math. Soc. 102 (1988), 221-229
MSC: Primary 20E06,; Secondary 11F06,22E40,57M99
MathSciNet review: 920977
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Abstract: Splittings as an amalgamated sum, where one of the factors is the projective elementary matrices, are displayed for all the Bianchi groups except for the Euclidian ones. Also splittings as an HNN group, where the base is $ {\text{PS}}{{\text{L}}_2}(Z)$, are given for all the Bianchi groups except $ {\text{PS}}{{\text{L}}_2}({O_1})$ and $ {\text{PS}}{{\text{L}}_2}({O_3})$.


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DOI: https://doi.org/10.1090/S0002-9939-1988-0920977-X
Article copyright: © Copyright 1988 American Mathematical Society