Publications

  1. Turner, E.C, Diffeomorphisms of a product of spheres, Invent. Math. 8 (1969), 69--82.
  2. --------------- , Diffeomorphisms homotopic to the identity, Trans. Amer. Math. Soc. 86 (1973), 489--498.
  3. --------------- , Rotational symmetry: basic properties and applications to knot manifolds, Invent. Math. 19 (1973), 219--234.
  4. --------------- , Some finite diffeomorphism groups, Ill. J. of Math. 18 (1974), 286--289.
  5. --------------- , Nilpotent diffeomorphism groups, Ill. J. Math. 18 (1974), 585--588.
  6. --------------- , A survey of diffeomorphism groups, Algebraic and geometrical methods in topology, Lecture notes in Mathematics (L.F. McAuley, ed) 428 , Springer-Verlag (1975), 200--218.
  7. Goldstein, R.Z. and Turner, E.C., Applications of intersection theory, Proc. Amer. Math. Soc. 54 (1976), 389--390.
  8. --------------- , A formula for Stiefel-Whitney homology classes, Proc. Amer. Math. Soc. 58 (1976), 339--342.
  9. --------------- , Stiefel-Whitney classes of QR complexes, Proc. Amer. Math. Soc. 64 no. 1 (1977), 157--162.
  10. --------------- , Applications of topological graph theory to group theory, Math. Zeit. 165 (1979), 1--10.
  11. --------------- , Solving quadratic equations in small cancellation groups, manuscript.
  12. --------------- , Reduced forms for quadratic words and spines of 2-manifolds, Math. Zeit. 176 (1981), 195--198.
  13. --------------- , Automorphisms of free groups and their fixed points, Invent. Math. 78 (1984), 1--12.
  14. --------------- , A note on commutators and squares in free products, Contemporary Math. 44, (1985), 69--72.
  15. --------------- , Extending immersions of the circle, manuscript.
  16. --------------- , Invariants of identities of group presentations, manuscript.
  17. Gold, K.R. and Turner, E.C., Rubik's groups, Amer. Math. Monthly 29 no. 9 (1985), 617--629.
  18. Goldstein, R.Z. and Turner, E.C., Monomorphisms of free groups have finitely generated centralizers, Invent. Math. 82 (1985), 283--290.
  19. --------------- , Fixed subgroups of homomorphisms of free groups, Bull. London Math. Soc. 18 (1986), 468--470.
  20. Kabbaj, N. and Turner, E.C., Cohomology rings of aspherical groups, Bull. London Math. Soc. 20 (1988), 29--33.
  21. Collins, D.J. and Turner, E.C., Free product fixedpoints, J. London Math. Soc. 38 no. 2 (1988), 67--76.
  22. Imrich, W. and Turner, E.C., Endomorphisms of free groups and their fixed points, Math. Proc. Camb. Phil. Soc. 105 (1989), 421--422.
  23. Imrich, W., Krstic, S. and Turner, E.C., A bound for the rank of the fixed point subgroup, Cycles and rays (G. Hahn et all, eds.), NATO ASI Ser. C, Kluwer Academic Publishers, Dordrecht, (1990), 113--122.
  24. Goldstein, R.Z. and Turner, E.C., Counting orbits of a product of permutations, Discrete math. 80 (1990), 267--272.
  25. Imrich, W. and Turner, E.C., Fixed subsets of homomorphisms of free groups, Topology and combinatorial group theory, Springer Verlag Lecture notes in Math. 1440 (1990), 148--163.
  26. Tennant, R. and Turner, E.C., The swap conjecture, Rocky Mountain J. of Math. 22 no. 3 (Summer 1992), 1083--1095.
  27. Collins, D.J. and Turner, E.C. , An automorphism of a free group of finite rank with maximal rank fixed point subgroup fixes a primitive element, J. Pure and Applied Algebra 88 (1993), 43--49.
  28. ---------------, Efficient representatives for automorphisms of free products, Michigan Math. J. 41 (1994), 443--464.
  29. --------------- , Finding indivisible Nielsen paths for a train track map, Combinatorial and geometric group theory (Edinburgh 1993), LMS Lecture notes 204, Camb. Univ. Press, (1995), 300--313.
  30. Turner, E.C, Test words for automorphisms of free groups, Bull. London Math. Soc. 28 (1996), 255-263.
  31. Collins, D.J. and Turner, E.C., All automorphisms of a free group with max rank fixed subgroup, Math. Proc. Cambridge Philo. Soc. 119 (1996), no. 4, 615--630.
  32. Turner, E.C. and Voce, D.A., Tame automorphisms of finitely generated abelian groups, Proceedings of the Edinburgh Math. Soc., 41 (1998), 277--287.
  33. Turner, E.C., Algorithmic determination of fixed subgroups, manuscript.
  34. O'Neill, J.C. and Turner, E.C. Test elements and the retract theorem in hyperbolic groups , New York J. Math. 6, (2000), 107--117.
  35. --------------- , Test elements in direct products of groups , Internt. J. Algebra and Computation, Vol 10 (2000) 751--756.
  36. Rocca, C.R. and Turner E.C. , Test elements in finitely generated abelian groups , Internt. J. Algebra and Computation, 12, No. 4, (2002) 569--573.
  37. --------------- , Test ranks of finitely generated abelian groups , Combinatorial Group Theory, (AMS Special Sessions 2000-2001), Contemp. Math., Amer. Math. Soc. 296, (2002) 199--206.
  38. --------------- , Boundary test elements , Group theory, statistics and cryptography (A.G. Miasnikov and V. Shpilrain, Eds) to appear, Contemp. Math. Amer. Math. Soc., 2004, 20 pp.
  39. Addepali, V. and Turner, E.C. Shift automorphisms of finite order, Proceedings of group theory conferences (S. Cleary and J. Taback, eds) to appear, Contemp. Math. Amer. Math. Soc., 2004, 26pp.
  40. Turner, E.C. , A topological proof that surface relators are test words , CRM Preprint series no. 634, 2005.
  41. Martino, A., Turner, E.C., and Ventura, E. The density of injective endomorphisms of a free group , CRM Preprint Series no. 685, 2006.
  42. Martino, A., Turner, E.C., and Ventura, E. The density of injective homomorphisms between free groups , Submitted.
  43. Atchison, B., and Turner, E.C., A structure theorem for automorphisms of a free group of finite outer order , in preparation.

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