List of Publications

Ralph Stöhr 

to 21 September 2017

  1. Torsion in free centre-by-nilpotent-by-abelian Lie rings of rank 2. Comm. Algebra, Published online: 12 Jul 2017.
  2. Free centre-by-nilpotent-by-abelian Lie rings of rank 2 (with Maria Alexandrou). J. Austral. Math. Soc., 102 (2017), no. 1, 63- 73.
  3. Free centre-by-(abelian-by- exponent 2) groups (with Maria Alexandrou). J. Algebra, 430 (2015), 191–237.
  4. Free centre-by-metabelian Lie algebras in characteristic 2 (with L.G. Kovács), Bull. London Math. Soc., 46 (2014) 491–502.
  5. Free centre-by-metabelian Lie rings (with Nil Mansuroğlu), Q. J. Math., 65 (2014) , no. 2, 555-579.
  6. On the dimension of products of homogeneous subspaces in free Lie algebras (with Nil Mansuroğlu), Internat. J. Algebra Comput. 23 (2013), no.1, 205-213.
  7. On linear equations in free Lie algebras (with Alaa Altassan), J. Algebra 349 (2012), 329-341.
  8. Lie powers and pseudo-idempotents (with Marianne Johnson), Canad. Math. Bull., 54 (2011), no. 2, 297-301.
  9. Lie powers of relation modules for groups (with L.G. Kovács),  J. Algebra, 326 (2011), no. 1, 192-200.
  10. Free central extensions of groups and modular Lie powers of relation modules (with Marianne Johnson),  Proc. Amer. Math. Soc., 138 (2010), no. 11, 3807-3814.
  11. Products of homogeneous subspaces in free Lie algebras (with Michael Vaughan-Lee),  Internat. J. Algebra Comput. 19 (2009), no.5, 699-703.
  12. Free centre-by-nilpotent-by-abelian groups (with Marianne Johnson), Bull.Lond. Math. Soc. 41 (2009), no. 5, 795-803.
  13. Bases, filtrations and module decompositions of free Lie algebras, J. Pure Appl. Algebra 212 (2008), 1187–1206.
  14. On modular Lie representations of finite groups (with R.M. Bryant). Turkish J. Math. 31 (2007), Suppl., 25–43.
  15. The equation [x, u] + [y, v] = 0 in free Lie algebras (with V.N. Remeslennikov). Internat. J. Algebra Comput. 17 (2007), no. 5/6, 1165-1187.
  16. A combinatorial proof of Klyachko’s Theorem on Lie representations (with L.G. Kovács). J. Algebraic Combin. 23 (2006 ), 225-230.
  17. Lie powers in prime degree (with R.M. Bryant). Q. J. Math. 56 (2005), 473-489.
  18. On algebraic sets over metabelian groups (with V.N. Remeslennikov). J. Group Theory 8 (2005), 491-513.
  19. Subalgebras of free restricted Lie algebras (with R.M. Bryant and L.G. Kovács). Bull. Austral. Math. Soc. 72 (2005), 147-156.
  20. On Lie powers of regular modules in characteristic 2 (with L.G. Kovács). Rend. Sem. Mat. Univ. Padova 112 (2004), 41-69.
  21. On the quasivariety generated by a non-cyclic free metabelian group (with V.N. Remeslennikov). Algebra Colloq. 11 (2004), 191-214.
  22. Lie powers of modules for GL(2,p) (with R.M. Bryant and L.G. Kovács). J. Algebra 260 (2003), 617-630.
  23. Lie powers of modules for groups of prime order (with R.M. Bryant and L. G. Kovács). Proc. London Math. Soc. 84 (2002), 334-374.
  24. Invariant bases for free Lie rings (with R.M. Bryant and L.G. Kovács). Q. J. Math. 53 (2002), 1-17.
  25. Restricted elimination and modular Lie powers. J. Austral. Math. Soc. 71 (2001), 259-277.
  26. On the module structure of free Lie algebras (with R.M. Bryant). Trans. Amer. Math. Soc. 352 (2000), 901-934.
  27. Lie powers of the natural module for GL(2) (with L.G. Kovács). J. Algebra 229 (2000), 435-462.
  28.  Module Structure of the free Lie ring on three generators (with L. G. Kovács). Arch. Math. 73 (1999), 182-185.
  29. Free Lie algebras as modules for symmetric groups (with R.M. Bryant and L. G. Kovács). J. Austral. Math. Soc. , Ser. A 67 (1999), 143-156.
  30. Invariant bases for free Lie algebras (with S. Guilfoyle), J. Algebra 204 (1998), 337-346.
  31. Geometry and Cohomology in Group Theory (with P.H. Kropholler and G.A. Niblo, Editors) LMS Lecture Notes Series 252, 316 pages, Cambridge University Press, Cambridge 1998.
  32. Fixed points of automorphisms of free Lie algebras (with R.M. Bryant), Arch. Math. 67 (1996), 281- 289.
  33. Symmetric powers, metabelian Lie powers and torsion in groups, Math. Proc. Cambridge Phil. Soc. 118 (1995), 449-466.
  34. Metabelian Lie powers of group representations (with R.M. Bryant and R. Zerck), J. Austral. Math. Soc. 56 (1994) 145-168.
  35. Homology of free Lie powers and torsion in groups, Israel J. Math. 84 (1993), 65-87.
  36. On torsion in certain free centre-by-soluble groups (with A.L. Shmel’kin), J. Pure Appl. Algebra 88 (1993), 225-237.
  37. Homology of metabelian Lie powers and torsion in relatively free groups, Quart. J. Math.(Oxford) 43 (1992), 361-380.
  38. Homology of higher relation modules and torsion in free central extensions of groups (with B. Hartley), Proc. London Math. Soc. 62 (1991), 325-352.
  39. A note on the homology of free abelianised extensions (with B. Hartley), Proc. Amer. Math. Soc. 113 (1991), 923-932.
  40. Homology of free abelianised extensions of groups (with L.G. Kov´acs and Yu.V. Kuz’min), Mat. Sbornik 182 (1991), 526-542 (in Russian, English translation: Math.USSR Sbornik 72 (1992), 503-518).
  41. The (co) homology of aspherical Coxeter groups (with S.J. Pride), J. London Math. Soc. 42 (1990), 49-63.
  42. Homology of groups with coefficients in metabelian Lie powers and exterior powers of relation modules and applications to group theory (with T. Hannebauer), Proc. Second Internat. Group Theory Conf. (Bressanone/ Brixen 1989), Rend. Circ. Mat. Palermo (2) Suppl. No 23 (1990), 77-113.
  43. A generalised Hopf formula for higher homology groups, Comment. Math. Helvet. 64 (1989), 187-199.
  44. On elements of order four in certain free central extensions of groups, Math. Proc. Cambridge Phil. Soc. 106 (1989), 12-29.
  45. Homology of groups with coefficients in polylinear powers of relation modules, Mitteil. Math. Ges. DDR, Heft 3-4 (1989), 53-66.
  46. Relation modules of groups with presentations in which each relator involves exactly two types of generators (with S.J. Pride), J. London Math. Soc. 38 (1988), 99-111.
  47. On torsion in free central extensions of some torsion-free groups, J. Pure Appl. Algebra 46 (1987), 249-289.
  48. Fixed points on higher relation modules of finite groups, J. Algebra 111 (1987), 248-261.
  49. On Gupta representations of central extensions, Math. Z. 187 (1984), 259-267.
  50. Groups with one more generator than relators, Math. Z. 182 (1983), 45-47.
  51. Freie Produkte torsionsfreier abelscher Gruppen in der Varietät der zentralen Erweiterungen metabelscher Gruppen, Math. Nachr. 96 (1980), 271-292.

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