[2017.11]

E-mail:
jdixon@math.carleton.ca

**Professor
Emeritus in the School of Mathematics and Statistics, Carleton
University**

Ph.D.
(McGill)

My research interests are in group theory and in design and analysis of algorithms in various areas of algebra and related fields, but I am also interested in other areas of mathematics. I have written five books (some with co-authors) and about 75 papers; some of these publications are listed below. I have been retired since 2002.

__Errata to the book
"Permutation Groups"__

John D. Dixon, Cheryl E. Praeger and Akos
Seress, *Strong involutions in finite
special linear groups of odd characteristic *(to
appear in J. Algebra) (pdf
file 461 kb)

John D. Dixon and Irwin S. Pressman,
*Generalized commutators and a problem
related to the Amitsur-Levitzki theorem *(to
appear in Linear and Multilinear Algebra) (pdf
file 144 kb)

John D. Dixon, *Recognizing cyclic matrices and a
conjecture of J.G. Thompson,*
arXiv
(http://arxiv.org/abs/1606.02238) - withdrawn

John D. Dixon, *Longest
common subsequences in binary sequences, *arXiv
(http://arxiv.org/abs/1307.2796)

Yuly
Billig and John D. Dixon, *An
eigenvalue theorem for systems of polynomial equations*,
Amer. Math. Monthly 121 (2014) 150-153 (pdf
file 101 kb)

Vahid Dabbaghian and John D. Dixon, *Computing
characters of groups with central subgroups, *LCM
J. Comput. and Math. 16 (2013)
398-406 (
pdf file 386 kb)

Vahid Dabbaghian and John D. Dixon, *Computing
matrix representations, *Math. Comp. 79
(2010) 1801-1810 (pdf file 165
kb)

John D. Dixon, *Generating
random elements in finite groups*,
Electronic J. Comb. 15 (2008) R94 ( pdf
file 155 kb)

A. Rahnamai Barghi and John D. Dixon,
*Irreducible characters which are zero on
only one conjugacy class*, Proc. Amer.
Math. Soc. 135 (2007) 41-45 (pdf
file 113 kb)

John D. Dixon, *Asymptotics
of generating the symmetric and alternating groups*,
Electronic J. Comb. 12 (2005) R56. ( pdf
file 117 kb)

John D. Dixon, *Permutation
representations and rational irreducibility*,
Bull. Austral. Math. Soc. 71 (2005) 493-503. (pdf
file 174 kb)

A. Rahnamai Barghi and John D. Dixon,
*Degree homogeneous groups*,
Canad. Math. Bull. 48 (2005) 41-49. ( pdf file
197 kb)

John D. Dixon and Daniel Panario, *The
degree of the splitting field of a random polynomial over a finite
field,* Electronic J. Comb. 11 (2004)
R70 ( pdf file 180
kb)

John D. Dixon and A. Dubickas, *The
values of Mahler measures*, Mathematika
51 (2004) 131-148. ( pdf file
210 kb)

J.D. Dixon and A.E. Zalesski, *Finite
imprimitive linear groups of prime degree,* J.
Algebra 276 (2004) 340-370. ( pdf file
308 kb)

J.D. Dixon, L. Pyber, A. Seress and A. Shalev,
*Residual properties of free groups and
probabilistic methods*, J. reine angew.
Math. 556 (2003) 159-172. ( pdf file
173 kb)

John D. Dixon, *Probabilistic
group theory, *C.R. Math. Rep.
Acad.. Sci. Canada **24** (2002)
1-15. ( pdf file 205 kb)

J.D. Dixon and A.E. Zalesskii, *Finite
primitive groups of prime degree*, J.
London Math. Soc. (2) 57 (1998) 126-134; errata: in J.
London Math. Soc. (2008) ( pdf
file 105 kb)

John D. Dixon, *Groups with a Cayley graph
isomorphic to a hypercube*, Bull. Austral. Math. Soc. **55**
(1997) 385-393

John D. Dixon and Brian Mortimer, *"Permutation
Groups*", Springer-Verlag (GTM **163**) 1996

J.D. Dixon, M. du Sautoy, A. Mann and D. Segal,
*"Analytic Pro-p Groups*", Cambridge Univ. Press (LMS
Lecture Notes **157**) 1991 (second ed. 1999)

John D. Dixon, *Most finitely generated permutation
groups are free*, Bull. London Math. Soc. **22 **(1990) 222-226

John D. Dixon and Brian Mortimer, *Primitive
permutation groups of degree less than 1000*, Proc. Camb. Philos.
Soc. **103 **(1988) 213-238

John D. Dixon, *The
Tits alternative *(pdf
file 149 kb)

John D. Dixon, *Estimating
extremal eigenvalues and condition numbers*,
SIAM J. Numer. Anal. **20 **(1983)
812-814 JSTOR

John D. Dixon, *Asymptotically
fast factorization of integers*, Math.
Comput. **36** (1981)
256-260 JSTOR

John D. Dixon, *A
brief proof of Cauchy's integral theorem*,
Proc. Amer. Math. Soc. **29 **(1972)
625-626

JSTOR

**Miscellaneous**

__Introduction to
Coding Theory__

Slides for a
talk on the Riemann Hypothesis Riemann's
Insight (pdf file 1027 kb)