Prof. J S Wilson
Emeritus Professor of Mathematics, University of Oxford
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
profinite groups, finite and infinite soluble groups, model theory of groups, branch groups, word growth of groups, finitely presented groups, generation problems for finite simple groups.
Profinite groups. London Math. Soc. Monographs, New Series 19 (Clarendon Press, Oxford, 1998).
(with R.M. Guralnick) On the probability of generating a finite soluble group. Proc. London Math. Soc. (3) 81 (2000), 405-427.
(with R.I. Grigorchuk) A structural property concerning abstract commensurability of subgroups. J. London Math. Soc. (2) 68 (2003), 671-682.
On exponential growth and uniformly exponential growth for groups. Invent. Math. 155 (2004), 287-303.
On growth of groups with few relators. Bull. London Math. Soc. 36 (2004), 1-2.
(with J.N. Bray and R.A. Wilson) A characterization of finite soluble groups by laws in two variables. Bull. London Math. Soc. 37 (2005), 179-186.
Finite axiomatization of finite soluble groups. J. London Math. Soc. (2) 74 (2006), 566-582.
Structure theory for branch groups. In Geometric and Homological Topics in Group Theory (Cambridge University Press, 2009), 306-320.
First-order characterization of the radical of a finite group. J. Symbolic Logic 74 (2009), 1429-1435.
Large hereditarily just infinite groups. J. Algebra 324 (2010), 248-255.
Characterization of the soluble radical by a sequence of words. J. Algebra 326 (2011), 286-289.
Finite index subgroups and verbal subgroups in profinite groups. Astérisque 339 (2011), 387-408.
The gap in the growth of residually soluble groups. Bull. London Math. Soc. 43 (2011), 576-582.
(with J.R.J. Groves) Soluble groups with a finiteness condition arising from Bredon cohomology. Bull. London Math. Soc. 45 (2013), 89-92.
(with A. Garrido) On subgroups of finite index in branch groups. J. Algebra 397 (2014), 32-38.
(with A. Thom) Metric ultraproducts of finite simple groups. C. R. Math. Acad. Sci. Paris 352 (2014), 463-466.
(with I.M. Chiswell and A.M.W. Glass) Residual nilpotence and ordering in one-relator groups and knot groups. Math. Proc. Cambridge Philos. Soc. 158 (2015), 275-288.
The first-order theory of branch groups. J. Austral. Math. Soc. 102 (2017), 150-158.
(with A.M.W. Glass) Recognising the real line. To appear.
Popular article. The glass bead game. Math. Intelligencer 19 (1997), no. 2, 23--25.