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Infinitely generated subgroups of finitely presented groups. I

โœ Scribed by Gilbert Baumslag; Frank B. Cannonito; Charles F. Miller

Publisher
Springer-Verlag
Year
1977
Tongue
French
Weight
974 KB
Volume
153
Category
Article
ISSN
0025-5874

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๐Ÿ“œ SIMILAR VOLUMES

Finitely Presented Normal Subgroups of a
Finitely Presented Normal Subgroups of a Product of Fuchsian Groups
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

Finite-Rank Free Metabelian Subgroups of
Finite-Rank Free Metabelian Subgroups of Finitely Presented Metabelian Groups
โœ Ada Peluso ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 148 KB

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