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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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MR2820146 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 (2012b:20082) 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 (2011m:20048) 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 (2011g:20036) 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 (2011e:20037) 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 (2011e:20032) 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 (2011d:20001) 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 (2010i:20060) 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 (2009m:03050) 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)
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MR2438073 (2009f:20106) Wilson, John S. The probability of generating a nilpotent subgroup of a finite
group.
Bull. Lond. Math. Soc. 40 (2008), no. 4, 568–580. (Reviewer: Paz Jiménez-Seral), 20P05 (20D15)
More publications
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