A J Duncan : Publications and Preprints

• Two Topics in Commutative Ring Theory, Ph.D. Thesis, University of Edinburgh, 1988.
• with L.O'Carroll, A full Uniform Artin-Rees Theorem. J. reine angew. Math. 394 (1989), 203-207.
• with L. O'Carroll, On Zariski-regularity, the vanishing of Tor and a uniform Artin-Rees theorem. In Topics in Algebra, Banach Centre Publications. vol. 26, part 2 (PWN Polish Scientific Publishers, Warsaw, 1990), pp. 49-55.
• Infinite coverings of ideals by cosets with applications to regular sequences and balanced big Cohen-Macaulay modules. Math. Proc. Camb. Phil. Soc. 107 (1990), 443-460.
• with J. Howie, The Genus Problem for one-relator products of locally indicable groups. Math. Z., 208 (1991), 225-237.
• with J. Howie, The non-orientable genus problem for one-relator products. Comm. in Alg., 19 (1991), 2547-2556.
• Zariski Regularity and a Nullstellensatz with nilpotents. J. Algebra, 161, (1993) no. 2, 524-534. ISSN 0021-8693
• with J. Howie, Spelling Theorems and a Cohen-Lyndon Theorem for one-relator products of groups. J. Pure Appl. Algebra, 92 (1994) no. 2, 123-136. ISSN 0022-4049
• with J. Howie, Weinbaum's conjecture on unique subwords of nonperiodic words. Proc. Amer. Math. Soc., 115 (1992) no. 4, 947-954. ISSN 0002-9939
• with J. Howie, The 3-Torus is Kervaire. In: Proceedings of the AMS Workshop on Geometric Topology, Technion, Haifa, 1992, Contemp. Math. 164 AMS 1994. ISBN 0-831-85182-9
• with J. Howie, One-relator products with high powered relators. in Geometric Group Theory, Sussex, Volume 1 Proceedings of the Symposium held in Sussex, 1991, G.A.Niblo and M.A.Roller (Eds.), LMS Lecture Note Series, 181, Cambridge University Press, 1993. ISBN 0-521-43529-3
• with N. Gilbert and G. Ellis, A Mayer-Vietoris sequence in group homology and the decomposition of relation modules. Glasgow Math. J., 37 (1995), no. 2, 159-171. ISSN 0017-0895
• Combinatorial and Geometric Group Theory. Papers from the Workshop on Geometric and Combinatorial Methods in Group Theory held at Heriot-Watt University, Edinburgh, 1993. Edited by A J Duncan, N D Gilbert and James Howie. LMS Lecture Note Series 204. Cambridge University Press, 1995 x+325 pp. ISBN 0-521-46595-8
• with E. Robertson and N. Ruskuc, Automatic Monoids and Change of generators. Math. Proc. Camb. Phil. Soc. 127 (1999) no. 2, 403-409.
• with R.H. Gilman, Word Hyperbolic Semigroups. Math. Proc. Camb. Phil. Soc., 136 (2004) no. 3, 513--524.
• with Michael Batty, Samuel L.  Braunstein and Sarah Rees, Quantum algorithms in group theory, In "AMS/ASL Joint special session, Interactions between Logic, Group Theory and Computer Science" Contemporary Mathematics (Proceedings), 349 (2004)
• with Michael Batty and Samuel L.  Braunstein, Extending the Promise of the Deutsch--Jozsa--Hoyer Algorithm for Finite Groups, LMS Jour. Computation and Mathematics 9 (2006) 40-63.
• with I.V. Kazachkov and V.N. Remeslennikov, Centraliser Dimension and Universal Classes of Groups, Siberian Electronic Mathematical Reports, 3 (2006) 197-215.
• with I.V. Kazachkov and V.N. Remeslennikov, Centraliser Dimension of Partially Commutative Groups, Geometriae Dedicata, 120 (2006) 73-97.
• Exponential genus problems in one--relator products of groups, Memoirs of the American Mathematical Society, 186 no. 873, (2007).
• with I.V. Kazachkov and V.N. Remeslennikov, Parabolic and Quasiparabolic Subgroups of Free Partially Commutative Groups, Journal of Algebra, 318 (2) (2007) 918-932.
• with Michael Batty, Andrea Casaccino, Sarah Rees, Simone Severini,An application of the Deutsch-Josza algorithm to formal languages and the word problem in groups, In: Proceedings of the 3rd Workshops on Quantum Computation, Communication and Cryptography, January 30 - February 1, 2008, Tokyo, Lecture Notes in Computer Science, to appear.
• with I.V. Kazachkov and V.N. Remeslennikov, Orthogonal Systems in Finite Graphs, Siberian Electronic Mathematical Reports, 5 (2008) 151-176.
• with I.V. Kazachkov and V.N. Remeslennikov, Automorphisms of Partially Commutative Groups I: Linear Subgroups. submitted.
• with I.V. Kazachkov and V.N. Remeslennikov, Stability of Universal Equivalence of Groups under Free Constructions. ,Siberian Electronic Mathematical Reports (to appear) .
• with A. Vdovina, Square free words as products of commutators. , Groups, Geometry and Dynamics, to appear .
• with V. Diekert and A. Miasnikov, Geodesic rewriting systems and pregroups. , To appear in Combinatorial and Geometric Group Theory, Dortmund and Carleton Conferences. Series: Trends in Mathematics Bogopolski, O.; Bumagin, I.; Kharlampovich, O.; Ventura, E. (Eds.) 2009.