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Professor Dan Segal
MA, MSc, PhD, DSc
- Senior Research Fellow, All Souls College
eMail:
dan [dot] segal [-at-] all-souls [dot] ox [dot] ac [dot] uk
Contact Form
Phone Number(s):
Reception/Secretary: +44 1865 273525
Direct: +44 1865 279359
Preferred Address:
All Souls College, Oxford OX1 4AL
Departmental Address:
Mathematical Institute
24-29 St Giles'
Oxford
OX1 3LB
England
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Prizes, Awards and Scholarships:
Adams Prize 1981, Whitehead Prize 1985, Ferran Sunyer i Balaguer Prize 2002, Polya Prize 2012
Major/Recent Publications:
The density of representation degrees (with M. Liebeck and A. Shalev), J. Eur. Math. Soc. 14 (2012), 1519–1537
Generators and commutators in finite groups; abstract quotients of compact groups (with N. Nikolov), Invent. Math. 190 (2012), 513-602; http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/s00...
Powers in finite groups (with N. Nikolov), Groups Geom. Dyn. 5 (2011), no. 2, 501–507
On verbal subgroups of adelic groups, J. Algebra 326 (2011), 227-237:  doi:10.1016/j.jalgebra.2009.03.024
Words: notes on verbal width in groups
LMS Lect. Notes 361, CUP, 2009. ISBN 978-0-521-74766-0
Polycyclic groups
Cambridge Tracts in Math. 82, CUP, Cambridge, 1983; paperback 2005. ISBN 978-0-521-02394-8
Subgroup growth (with A. Lubotzky)
Progress in Math. 212, Birkhauser, Basel, 2003. ISBN 3-7643-6989-2
Analytic pro-p groups, 2nd ed. (with J.D. Dixon, M.P.F. du Sautoy and A. Mann)
Cambridge Studies in Advanced Mathematics 61, CUP, Cambridge 1999; paperback 2003. ISBN 978-0-521-54218-0
New horizons in pro-p groups (editor, with M. P. F. du Sautoy and A. Shalev)
Progress in Math. 184, Birkhauser, Boston 2000. ISBN 0-8176-4171-8, 3-7643-4171-8
Recent Publications (from MathSciNet):
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MR2881335 Indexed Segal, Dan Obituary: Fritz Grunewald, 1949–2010.
Bull. Lond. Math. Soc. 44 (2012), no. 1, 183–197. 01A70
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MR2858868 Reviewed Segal, Dan Words and groups.
Groups St Andrews 2009 in Bath. Volume 2,
344–374, London Math. Soc. Lecture Note Ser., 388, Cambridge Univ. Press, Cambridge, 2011. 20-02 (20Fxx)
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MR2816391 Indexed Nekrashevych, V. Words: notes on verbal width in groups [book review of MR2547644].
Bull. Amer. Math. Soc. (N.S.) 48 (2011), no. 3, 491–494. 00A17
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MR2797110 Reviewed Klopsch, Benjamin; Nikolov, Nikolay; Voll, Christopher Lectures on profinite topics in group theory.
Lectures from the course on Asymptotic Methods in Infinite Group Theory
held in Oxford, September 2007.
Edited by Dan Segal.
London Mathematical Society Student Texts, 77. Cambridge University Press, Cambridge, 2011. x+147 pp. ISBN: 978-0-521-18301-7 20-06 (20E18 22-06)
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MR2760001 Indexed Segal, Dan Fritz Grunewald, 1949–2010.
(German) Translated from the English original [Bull. Lond. Math. Soc.] by
Gabriele Nebe.
Jahresber. Dtsch. Math.-Ver. 113 (2011), no. 1, 3–20. 01A70
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MR2782182 Reviewed Nikolov, Nikolay; Segal, Dan Powers in finite groups.
Groups Geom. Dyn. 5 (2011), no. 2, 501–507. (Reviewer: Martyn Quick) 20E18 (20D25 20F69)
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MR2782169 Indexed Bridson, Martin; Segal, Dan Special issue on the occasion of Fritz Grunewald's 60th birthday.
Special issue edited by Bridson and Segal with the cooperation of Alex
Lubotzky and Peter Sarnak.
Groups Geom. Dyn. 5 (2011), no. 2, 207–211. 01A70
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MR2746063 Reviewed Segal, Dan On verbal subgroups of adelic groups.
J. Algebra 326 (2011), 227–237. (Reviewer: Nikolay V. Nikolov) 20E18 (20F69)
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MR2605354 Reviewed Segal, Dan Some aspects of profinite group theory.
Essays in geometric group theory,
27–60, Ramanujan Math. Soc. Lect. Notes Ser., 9, Ramanujan Math. Soc., Mysore, 2009. (Reviewer: Benjamin Klopsch) 20E18 (11S40 20D15 20E07 20E26 20F05 20F10)
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MR2547644 Reviewed Segal, Dan Words: notes on verbal width in groups.
London Mathematical Society Lecture Note Series, 361. Cambridge University Press, Cambridge, 2009. xii+121 pp. ISBN: 978-0-521-74766-0 (Reviewer: Benjamin Klopsch) 20E10 (20-02 20F10 20F12 20G25 20G35 20M05)
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MR2508631 Indexed Profinite and asymptotic group theory.
Abstracts from the workshop held June 22–28, 2008.
Organized by Fritz Grunewald and Dan Segal.
Oberwolfach Reports. Vol. 5, no. 2.
Oberwolfach Rep. 5 (2008), no. 2, 1537–1587. 20E18 (20F69)
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MR2364077 Reviewed Pyber, László; Segal, Dan Finitely generated groups with polynomial index growth.
J. Reine Angew. Math. 612 (2007), 173–211. (Reviewer: Benjamin Klopsch) 20E07 (20E26 20F16)
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MR2364826 Reviewed Nikolov, Nikolay; Segal, Dan Direct products and profinite completions.
J. Group Theory 10 (2007), no. 6, 789–793. (Reviewer: Benjamin Klopsch) 20F18 (20E22)
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MR2357487 Reviewed Segal, Dan Variations on a theme of Burns and Medvedev.
Groups Geom. Dyn. 1 (2007), no. 4, 661–668. (Reviewer: Benjamin Klopsch) 20E18 (20E10 20F40)
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MR2355686 Reviewed Mann, Avinoam; Segal, Dan Breadth in polycyclic groups.
Internat. J. Algebra Comput. 17 (2007), no. 5-6, 1073–1083. (Reviewer: Oliver Baues) 20F16 (20E45)
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MR2323450 Reviewed Nikolov, Nikolay; Segal, Dan A characterization of finite soluble groups.
Bull. Lond. Math. Soc. 39 (2007), no. 2, 209–213. (Reviewer: Ma. Jesús Iranzo) 20D10 (20F05)
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MR2276770 Reviewed Nikolov, Nikolay; Segal, Dan On finitely generated profinite groups. II. Products in quasisimple
groups.
Ann. of Math. (2) 165 (2007), no. 1, 239–273. (Reviewer: Benjamin Klopsch) 20E18 (20D06 20E32 20F12)
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MR2276769 Reviewed Nikolov, Nikolay; Segal, Dan On finitely generated profinite groups. I. Strong completeness and
uniform bounds.
Ann. of Math. (2) 165 (2007), no. 1, 171–238. (Reviewer: Benjamin Klopsch) 20E18 (20E32 20F12)
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