**List of Publications**

**Ralph Stöhr **

to 21 September 2017

- Torsion in free centre-by-nilpotent-by-abelian Lie rings of rank 2.
*Comm. Algebra*, Published online: 12 Jul 2017. - Free centre-by-nilpotent-by-abelian Lie rings of rank 2 (with Maria Alexandrou).
*J. Austral. Math. Soc.*,**102**(2017), no. 1, 63- 73. - Free centre-by-(abelian-by- exponent 2) groups (with Maria Alexandrou).
*J. Algebra,***430**(2015), 191–237. - Free centre-by-metabelian Lie algebras in characteristic 2 (with L.G. Kovács),
*Bull. London Math. Soc.*, 46 (2014) 491–502. - Free centre-by-metabelian Lie rings (with Nil Mansuroğlu),
*Q. J. Math.*,**65**(2014) , no. 2, 555-579. - 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. - On linear equations in free Lie algebras
(with Alaa Altassan),
*J. Algebra*349 (2012), 329-341. - Lie powers and pseudo-idempotents (with Marianne Johnson),
*Canad. Math. Bull.*, 54 (2011), no. 2, 297-301. - Lie powers of relation modules for groups (with L.G. Kovács),
*J. Algebra*, - 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. *Products of homogeneous subspaces in free Lie algebras (with*Michael Vaughan-Lee),*Internat. J. Algebra Comput.*19 (2009), no.5, 699-703.- Free centre-by-nilpotent-by-abelian groups (with Marianne
Johnson),
*Bull.Lond. Math. Soc.*41 - Bases, filtrations and module decompositions of free Lie algebras,
*J. Pure Appl. Algebra*212 (2008), 1187–1206. - On modular Lie representations of finite groups (with R.M. Bryant).
*Turkish J. Math.*31 (2007), Suppl., 25–43. - 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. - A combinatorial proof of Klyachko’s Theorem on Lie representations (with
L.G. Kovács).
*J. Algebraic Combin.*23 (2006 ), 225-230. - Lie powers in prime degree (with R.M. Bryant).
*Q. J. Math.*56 (2005), 473-489. - On algebraic sets over metabelian groups (with V.N. Remeslennikov).
*J. Group Theory*8 (2005), 491-513. - Subalgebras of free restricted Lie algebras (with R.M. Bryant and L.G. Kovács).
*Bull. Austral. Math. Soc.*72 (2005), 147-156. - On Lie powers of regular modules in characteristic 2 (with L.G. Kovács).
*Rend. Sem. Mat. Univ. Padova*112 (2004), 41-69. - On the quasivariety generated by a non-cyclic free metabelian group
(with V.N. Remeslennikov).
*Algebra Colloq.*11 (2004), 191-214. - Lie powers of modules for GL(2,p) (with R.M. Bryant and L.G. Kovács).
*J. Algebra*260 (2003), 617-630. - 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. - Invariant bases for free Lie rings (with R.M. Bryant and L.G. Kovács).
*Q. J. Math*. 53 (2002), 1-17. - Restricted elimination and modular Lie powers.
*J. Austral. Math. Soc.*71 (2001), 259-277. - On the module structure of free Lie algebras (with R.M. Bryant).
*Trans. Amer. Math. Soc.*352 (2000), 901-934. - Lie powers of the natural module for GL(2) (with L.G. Kovács).
*J. Algebra*229 (2000), 435-462. - Module Structure of the free Lie ring on three generators (with L.
G. Kovács).
*Arch. Math*. 73 (1999), 182-185. - 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. - Invariant bases for free Lie algebras (with S. Guilfoyle),
*J. Algebra*204 (1998), 337-346. - 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.
- Fixed points of automorphisms of free Lie algebras (with R.M. Bryant),
*Arch. Math.*67 (1996), 281- 289. - Symmetric powers, metabelian Lie powers and torsion in groups,
*Math. Proc. Cambridge Phil. Soc.*118 (1995), 449-466. - Metabelian Lie powers of group representations (with R.M. Bryant and R.
Zerck),
*J. Austral. Math. Soc.*56 (1994) 145-168. - Homology of free Lie powers and torsion in groups,
*Israel J. Math*. 84 (1993), 65-87. - On torsion in certain free centre-by-soluble groups (with A.L. Shmel’kin),
*J. Pure Appl. Algebra*88 (1993), 225-237. - Homology of metabelian Lie powers and torsion in relatively free groups,
*Quart. J. Math.(Oxford)*43 (1992), 361-380. - Homology of higher relation modules and torsion in free central
extensions of groups (with B. Hartley),
*Proc. London Math. Soc.*62 (1991), 325-352. - A note on the homology of free abelianised extensions (with B. Hartley),
*Proc. Amer. Math. Soc.*113 (1991), 923-932. - 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). - The (co) homology of aspherical Coxeter groups (with S.J. Pride),
*J. London Math. Soc.*42 (1990), 49-63. - 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. - A generalised Hopf formula for higher homology groups,
*Comment. Math. Helvet.*64 (1989), 187-199. - On elements of order four in certain free central extensions of groups,
*Math. Proc. Cambridge Phil. Soc.*106 (1989), 12-29. - Homology of groups with coefficients in polylinear powers of relation
modules,
*Mitteil. Math. Ges. DDR*, Heft 3-4 (1989), 53-66. - 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. - On torsion in free central extensions of some torsion-free groups,
*J. Pure Appl. Algebra*46 (1987), 249-289. - Fixed points on higher relation modules of finite groups,
*J. Algebra*111 (1987), 248-261. - On Gupta representations of central extensions,
*Math. Z.*187 (1984), 259-267. - Groups with one more generator than relators,
*Math. Z.*182 (1983), 45-47. - Freie Produkte torsionsfreier abelscher Gruppen in der Varietät
der zentralen Erweiterungen metabelscher Gruppen,
*Math. Nachr.*96 (1980), 271-292.