Some amalgam structures for Bianchi groups

Frohman, Charles; Fine, Benjamin

doi:10.1090/S0002-9939-1988-0920977-X

Some amalgam structures for Bianchi groups
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by Charles Frohman and Benjamin Fine PDF

Proc. Amer. Math. Soc. 102 (1988), 221-229 Request permission

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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