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Prof. Dan Segal

MA, MSc, PhD, DSc
Status
Emeritus

Senior Research Fellow emeritus, All Souls College

Contact form
http://people.maths.ox.ac.uk/segal/
+44 1865 279379
Research groups
  • Algebra

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Highlighted books
Words Segal, D (16 Jul 2009)
Highlighted publications
Algorithms determining finite simple images of finitely presented groups
Bridson, M Evans, D Liebeck, M Segal, D arXiv
Generators and commutators in finite groups; abstract quotients of compact groups
Segal, D Nikolov, N Inventiones Mathematicae volume 190 issue 3 513-602 (15 Nov 2012)
Powers in finite groups
Nikolov, N Segal, D GROUPS GEOMETRY AND DYNAMICS volume 5 issue 2 501-507 (2011) http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000288620100014&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e
Finitely generated groups with polynomial index growth
Segal, D Pyber, L J. reine angewandte Math. volume 612 173-211 (2007)
On finitely generated profinite groups, I: strong completeness and uniform bounds
Nikolov, N Segal, D ANNALS OF MATHEMATICS volume 165 issue 1 171-238 (Jan 2007) http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000246342000005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e
Research interests

Algebra, number theory

Prizes, awards, and scholarships

Adams Prize 1981, Whitehead Prize 1985, Ferran Sunyer i Balaguer Prize 2002, Polya Prize 2012

Recent books
Subgroup Growth Lubotzky, A Segal, D (01 Apr 2003)
Analytic Pro-P Groups Dixon, J Sautoy, M Mann, A Segal, D (26 Aug 1999)
Polycyclic groups Segal, D (1983)
Recent publications
Defining R and G(R)
Segal, D Tent, K Journal of the European Mathematical Society (25 Jun 2022)
Finite axiomatizability for profinite groups
Nies, A Segal, D Tent, K Proceedings of the London Mathematical Society volume 123 issue 6 597-635 (24 Aug 2021)
Remarks on profinite groups having few open subgroups
Segal, D Journal of Combinatorial Algebra volume 2 issue 1 87-101 (08 Feb 2018)
Fritz Grunewald, 1949-2010 OBITUARY
Segal, D BULLETIN OF THE LONDON MATHEMATICAL SOCIETY volume 44 183-197 (Feb 2012) http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000299415100017&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e
Words and groups
Segal, D Groups St Andrews 2009 in Bath: volume 388 344-374 (16 Jun 2011)
Preferred address
All Souls College, Oxford OX1 4AL
Major / recent publications

Algorithms determining finite simple images of finitely presented groups (with M. R. Bridson, D. M. Evans, and M. W. Liebeck)
Invent. Math. 218 (2019), pages 623–648.

Remarks on profinite groups having few open subgroups, J. Comb. Algebra 2 (2018), 87-101.

On normal subgroups of compact groups (with N. Nikolov), J. Eur. Math. Soc. 16 (2014), 597–618.

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/s0…

Powers in finite groups (with N. Nikolov), Groups Geom. Dyn. 5 (2011), 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


 

 

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