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Finitely presented subgroups of three-manifold groups

โœ Scribed by William Jaco

Publisher
Springer-Verlag
Year
1971
Tongue
English
Weight
510 KB
Volume
13
Category
Article
ISSN
0020-9910

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๐Ÿ“œ SIMILAR VOLUMES

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โœ F.E.A. Johnson ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 109 KB

We show that if โŒซ is a finitely presented normal subgroup of a product G = G 1 2 of Fuchsian groups which projects nontrivially to each factor, then โŒซ has finite index in G = G . The proof uses the author's previous reduction of the descrip-1 2 tion of normal subdirect products to the abelian case

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A sufficient condition is obtained for the residual torsion-free nilpotence of certain finitely presented metabelian groups that arise from a matrix representa-ลฝ . tion developed by Magnus 1939, Ann. of Math. 40, 764แŽ768 for metabelian ลฝ groups. Using this condition and a construction due to Baumsla