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Professor J S Wilson
M.A., Sc.D. (Cantab.), L.R.A.M.
- Professor of Mathematics, University of Oxford
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Distinguished Research Lecturer, University College, Oxford
Personal Web Page
eMail:
John [dot] Wilson [-at-] maths [dot] ox [dot] ac [dot] uk
Contact Form
Phone Number(s):
Reception/Secretary: +44 1865 273525
Direct: +44 1865 273536
Office:
SGF9
Preferred Address:
University College
Oxford
Ox1 4BH
England
Departmental Address:
Mathematical Institute
24-29 St Giles'
Oxford
OX1 3LB
England
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Research Interests:
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.
Major/Recent Publications:
- Profinite groups. London Math. Soc. Monographs, New Series 19 (Clarendon Press, Oxford, 1998).
- (with C.
 J.B. Brookes and J.E.Roseblade) Exterior powers of modules for polycyclic groups. J. London Math. Soc. (2) 56 (1997), 231–244.
- Finitely presented soluble groups. In Geometric and Homological Topics in Group Theory, (Cambridge University Press, 1998), 296–316.
- (with A. Lucchini and M.C. Tamburini) Hurwitz groups of large rank. J. London Math. Soc. (2) 61 (2000), 81–92.
- On abstract and profinite just infinite groups. Chapter 5 in New horizons in pro-
 groups (Birkhaüser, 2000).
- (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.
- (with R.I. Grigorchuk) The uniqueness of the actions of certain branch groups on rooted trees. Geom. Dedicata 100 (2003), 103–116.
- 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.
- Structure theory for branch groups. In Geometric and Homological Topics in Group Theory (Cambridge University Press), to appear.
- First-order characterization of the radical of a finite group. J. Symbolic Logic, to appear.
- Linear groups with many
 -generator soluble subgroups. Bull. London Math. Soc., to appear.
- Characterization of the soluble radical by a sequence of words. J. Algebra, to appear.
Popular article The glass bead game. Math. Intelligencer 19 (1997), no. 2, 23–25.
Recent Publications (from MathSciNet):
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MR2906362 Reviewed Wilson, John S. Finite index subgroups and verbal subgroups in profinite groups.
Séminaire Bourbaki. Vol. 2009/2010. Exposés 1012–1026.
Astérisque No. 339 (2011), Exp. No. 1026, x, 387–408. ISBN: 978-2-85629-326-3 (Reviewer: Alexander Lubotzky) 20E18
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MR2820146 Reviewed Wilson, John S. The gap in the growth of residually soluble groups.
Bull. Lond. Math. Soc. 43 (2011), no. 3, 576–582. (Reviewer: Victor M. Petrogradsky) 20F19 (20F05 20F69)
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MR2801636 Reviewed Altinel, Tuna; Wilson, John S. Linear representations of soluble groups of finite Morley rank.
Proc. Amer. Math. Soc. 139 (2011), no. 8, 2957–2972. (Reviewer: Eric Jaligot) 20F11 (03C60 20F16)
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MR2746067 Reviewed Wilson, John S. Characterization of the soluble radical by a sequence of words.
J. Algebra 326 (2011), 286–289. (Reviewer: Primož Moravec) 20D10 (20E10)
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MR2674858 Reviewed Wilson, John S. Free subgroups in groups with few relators.
Enseign. Math. (2) 56 (2010), no. 1-2, 173–185. (Reviewer: Gerald Williams) 20E18 (20E05 20F05)
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MR2651355 Reviewed Wilson, John S. Large hereditarily just infinite groups.
J. Algebra 324 (2010), no. 2, 248–255. (Reviewer: Peter A. Linnell) 20E18
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MR2605182 Reviewed Wilson, John S. Structure theory for branch groups.
Geometric and cohomological methods in group theory,
306–320, London Math. Soc. Lecture Note Ser., 358, Cambridge Univ. Press, Cambridge, 2009. (Reviewer: François Dahmani) 20E08 (05C25)
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MR2583827 Reviewed Wilson, John S. First-order characterization of the radical of a finite group.
J. Symbolic Logic 74 (2009), no. 4, 1429–1435. 20A15 (03C65)
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MR2521355 Reviewed Wilson, John S. Linear groups with many two-generator soluble subgroups.
Bull. Lond. Math. Soc. 41 (2009), no. 4, 599–612. (Reviewer: Daniel Segal) 20H20 (20F16)
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MR2470842 Reviewed Altinel, Tuna; Wilson, John S. On the linearity of torsion-free nilpotent groups of finite Morley
rank.
Proc. Amer. Math. Soc. 137 (2009), no. 5, 1813–1821. (Reviewer: Martyn R. Dixon) 03C60 (20F16 20F18)
More publications
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