School of Mathematics and Statistics - Research Publications

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    Reflections on some groups of B. H. Neumann
    Baumslag, G ; Miller, CF (WALTER DE GRUYTER GMBH, 2009-09)
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    Finitely presented extensions by free groups
    Baumslag, G ; Miller, CF (WALTER DE GRUYTER GMBH, 2007)
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    Structure and finiteness properties of subdirect products of groups
    Bridson, MR ; Miller, CF (LONDON MATH SOC, 2009-05)
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    Subgroups of direct products of limit groups
    Bridson, MR ; Howie, J ; Miller, CF ; Short, H (Princeton Univ, Dept Mathematics, 2009-11)
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    VIRTUAL PROPERTIES OF CYCLICALLY PINCHED ONE-RELATOR GROUPS
    Baumslag, G ; Fine, B ; Miller, CF ; Troeger, D (WORLD SCIENTIFIC PUBL CO PTE LTD, 2009-03)
    We prove that the amalgamated product of free groups with cyclic amalgamations satisfying certain conditions are virtually free-by-cyclic. In case the cyclic amalgamated subgroups lie outside the derived group such groups are free-by-cyclic. Similarly a one-relator HNN-extension in which the conjugated elements either coincide or are independent modulo the derived group is shown to be free-by-cyclic. In general, the amalgamated product of free groups with cyclic amalgamations is free-by-(torsion-free nilpotent). The special case of the double of a free group amalgamating a cyclic subgroup is shown to be virtually free-by-abelian. Analagous results are obtained for certain one-relator HNN-extensions.