One relator groups having a finitely presented normal subgroup

One relator groups having a finitely presented normal subgroup
HTML articles powered by AMS MathViewer

Proc. Amer. Math. Soc. 69 (1978), 219-222

DOI: https://doi.org/10.1090/S0002-9939-1978-0466323-3

PDF | Request permission

A classification is given for one-relator groups having a finitely presented normal subgroup of infinite index.

References

Gilbert Baumslag, Finitely generated cyclic extensions of free groups are residually finite, Bull. Austral. Math. Soc. 5 (1971), 87–94. MR 311776, DOI 10.1017/S0004972700046906
Robert Bieri, Homological dimension of discrete groups, Queen Mary College Mathematics Notes, Queen Mary College, Mathematics Department, London, 1976. MR 0466344
Ian M. Chiswell, Euler characteristics of groups, Math. Z. 147 (1976), no. 1, 1–11. MR 396785, DOI 10.1007/BF01214269
J. Fischer, A. Karrass, and D. Solitar, On one-relator groups having elements of finite order, Proc. Amer. Math. Soc. 33 (1972), 297–301. MR 311780, DOI 10.1090/S0002-9939-1972-0311780-0
A. Karrass, A. Pietrowski, and D. Solitar, An improved subgroup theorem for HNN groups with some applications, Canadian J. Math. 26 (1974), 214–224. MR 432766, DOI 10.4153/CJM-1974-021-1
A. Karrass and D. Solitar, Subgroups of $\textrm {HNN}$ groups and groups with one defining relation, Canadian J. Math. 23 (1971), 627–643. MR 301102, DOI 10.4153/CJM-1971-070-x
A. Karrass and D. Solitar, The subgroups of a free product of two groups with an amalgamated subgroup, Trans. Amer. Math. Soc. 150 (1970), 227–255. MR 260879, DOI 10.1090/S0002-9947-1970-0260879-9
John Stallings, Groups of cohomological dimension one, Applications of Categorical Algebra (Proc. Sympos. Pure Math., Vol. XVII, New York, 1968) Amer. Math. Soc., Providence, R.I., 1970, pp. 124–128. MR 0255689