``The block-transitive, point-imprimitive 2-(729,8,1) designs'', Werner
Nickel, Alice C. Niemeyer, Christine M. O'Keefe, Tim Penttila & Cheryl E. Praeger. Applicable
Algebra in Engineering, Communication and Computing, 1992.
``A Finite Soluble Quotient Algorithm". Alice C. Niemeyer, J. Symbolic Computation ,
18
,
541-561, 1994.
``Computing finite soluble quotients". Alice C. Niemeyer, Computational Algebra and Number
Theory , (eds. Wieb Bosma and Alf van der Poorten), Kluwer, 1995.
``Generating random elements of a finite group", Frank Celler, C.R.
Leedham-Green, Scott H. Murray, Alice C. Niemeyer &E.A. O'Brien, Comm. Algebra ,
23
,
4931--4948, 1995.
``Implementing a Recognition Algorithm for Classical Groups", with Cheryl
E. Praeger, in Groups and Computation II , DIMACS: Series in Discrete
Mathematics and Theoretical Computer Science, 28 (ed. Larry Finkelstein
and William M. Kantor, American Mathematical Society), 273--296, 1997.
Cheryl E. Praeger with assistance of Cai Heng Li and Alice C. Niemeyer.
``Finite transitive permutation groups and finite vertex-transitive graphs.''
Graph symmetry (Montreal, PQ, 1996), 277--318, NATO Adv. Sci. Inst. Ser.
C Math. Phys. Sci., 497, Kluwer Acad. Publ., Dordrecht, 1997.
``Descriptions of groups of prime power order", M.F. Newman,
Werner Nickel & Alice C. Niemeyer, Journal of Symbolic Computation, 25 (5), 665--682,
1998.
``A Recognition Algorithm for Classical Groups over Finite Fields", Alice C. Niemeyer &
Cheryl E. Praeger, in Proc. London Math. Soc. (3), 77, 117 -- 169,
1998.
``Groups with Exponent six" , with George Havas, M.F. Newman, and Charles
Sims, in Communications in Algebra 27, no. 8, 3619-3638,
1999.
``A recognition algorithm for non-generic classical groups over finite
fields", with Cheryl E. Praeger, in J. Austral. Math. Soc. (Series A)67
, 223-253,
1999.
``Computing in groups with exponent six'', with George Havas, M.F. Newman
and Charles C. Sims, in Computational and Geometric Aspects of Modern
Algebra, Proceedings of the ICMS Workshop held at the Heriot-Watt University,
Edinburgh 1998, (ed. M.D. Atkinson et al.), London Math. Soc. Lect. Notes.
275 87-100. (Cambridge Univ. Press)
2000.
``Orderly generation of Rahilly families and symmetric designs with a half-regular
group of automorphisms", with Priscila P. Alejandro and Anton Betten. Proceedings
of the 2nd Pythagorean Conference Samos, Greece 1999, J. Geometry 67,
2-22.
2000.
``Complexity and computation in matrix groups" with Cheryl E. Praeger,
in Aspects of complexity. Eds: Rod Downey and Denis Hirschfeldt,
de Gruyter Series in Logic and its Applications, Volume 4, de Gruyter,
Berlin, pp. 87-113. 2001.
``Permutations with restricted cycle structure and an algorithmic application"
with Robert Beals, Charles R. Leedham-Green, Cheryl E. Praeger and Ákos
Seress in Combinatorics, Probability and Computing 11, 447-464.
2002.
``Recognising Matrix groups", with Charles R. Leedham-Green, E.A. O'Brien
and Cheryl E. Praeger, in
Computer Algebra Handbook, Foundations, Applications, Systems.
Ed. J. Grabmeier, E. Kaltofen, V. Weispfenning, Springer-Verlag,
Berlin New York pp. 474-475.
2003.
``ANU polycyclic quotient programs'', with M.F. Newman, Werner Nickel and
E.A. O'Brien, in
Computer Algebra Handbook, Foundations, Applications, Systems.
Ed. J. Grabmeier, E. Kaltofen, V. Weispfenning, Springer-Verlag,
Berlin New York pp.459-460.
2003.
``A black box algorithm for recognising finite symmetric and alternating
groups, I" with Robert Beals, Charles R. Leedham-Green, Cheryl E. Praeger
and Ákos Seress, Trans. Amer. Math. Soc. 355
,pp.
2097-2113 (electronic)
2003.
``On a theorem of Wielandt for primitive permutation groups"
with Anton Betten, Anne Delandtsheer and Cheryl E. Praeger,
J. Group Theory 6 , 415-420,
2003.
``Finite line-transitive linear spaces: parameters and normal point-partitions"
with Anne Delandtsheer and Cheryl E. Praeger, Advances in Geometry 3 , 469-485,
2003.
``A constructive recognition algorithm for normalisers of small extra special-groups
as matrix groups". International Journal of Algebra and Computation,
Vol. 15, No. 2, 367-394,
2005.
``Constructive recognition of finite alternating and symmetric groups acting
as matrix groups on their natural permutation modules." with Robert Beals,
Charles R. Leedham-Green, Cheryl E. Praeger and Ákos Seress. J. Algebra,
Vol 92, no. 1, 4--46,
2005.
``A search algorithm for line-transitive point-imprimitive linear
spaces" with Anton Betten, Greg Cresp and Cheryl E. Praeger.
Bayreuther Mathematischen Schriften,
2005.
``A reduction algorithm for large-base primitive permutation
groups" with Maska Law, Cheryl E. Praeger and Ákos
Seress. LMS J. of
Computation and Mathematics , 9, 159--173,
2006.
``On the frequency of permutations containing a long cycle" with Cheryl
E. Praeger. Journal of Algebra, 300(1).
2006.
``On the lengths of pairs of complex matrices of size at most
five", with W.E. Longstaff and Oreste Panaia.
Bulletin of the Australian Mathematical Society, 73 ,
461--472,
2006.
``A reduction algorithm for matrix groups with an extraspecial normal
subgroup", with Peter Brooksbank and Ákos Seress,
proceedings of ``Finite Geometries, Groups, and Computation".
Eds. A. Hulpke, R. Liebler, T. Penttila, Á. Seress. deGruyter, 1--16,
2006.
``The minimum length of a base for the symmetric group acting on
partitions" with Carmit Benbenishty and Jonathan Cohen.
European Journal of Combinatorics28 , 6, 1553-1876,
2007.
``On Permutations of Order Dividing a Given Integer" with Cheryl E.
Praeger. Journal of Algebraic Combinatorics. 26 (1),
125--142,
2007.
``On the proportion of permutations of order a multiple of the degree"
with Cheryl E. Praeger. Journal of the London Math. Soc. (2) 76 no. 3, 622--632,
2007.
``Apportionment Methods", with Horst F. Niemeyer. Mathematical Social
Sciences
56, 240-253,
2008.
``Finding involutions in finite Lie type groups of odd characteristic'',
with Frank Lübeck and Cheryl E. Praeger. J. Algebra 2009.
``Finite line-transitive linear spaces: Theory and search strategies",
with Anton Betten, Anne Delandtsheer, Maska Law, Cheryl E. Praeger and
Shenglin Zhou. Acta Mathematica Sinica 25 (9),
Institute of Mathematics, Chinese Academy of Sciences
and Chinese Mathematical Society, co-published with Springer-Verlag GmbH
1399-1436,
DOI 10.1007/s10114-009-9275-0,
2009.
``Estimating proportions of elements in finite simple
groups of Lie type'', with Cheryl E. Praeger. J. Algebra 324 (1), 122-145,
2010.
``On proportions of pre-involutions in finite classical groups'',
with Tomasz Popiel and Cheryl E. Praeger.
J. Algebra 324 (5), 1016-1043,
2010.
``On semiregular permutations on a finite set", with Tomasz Popiel,
Cheryl E. Praeger and Sukru Yalcinkaya.
Math. Comp. 81, 605--622,
2012.
``Irreducible linear subgroups generated by pairs of
matrices with large irreducible submodules'',
with Sabina B. Pannek and Cheryl E. Praeger.
Archiv der Mathematik. 98 , Number 2, 105-114, DOI: 10.1007/s00013-012-0359-1
2012.
``Algorithms to identify abundant $p$-singular elements in finite
classical groups",
with Tomasz Popiel and Cheryl E. Praeger.
Bull. Aust. Math. Soc. 86,
50-63,2012.
``Fast recognition of alternating groups of unknown
degree",
with Sebastian Jambor, Martin Leuner and Wilhelm Plesken.
J. Algebra 392 , 315-335,
2013.
``Abundant p-singular elements in finite classical
groups",
with Tomasz Popiel and Cheryl E. Praeger.
J. Algebra , 408 , 189-204,
2014.
``Elements in finite classical groups whose powers have large
1-Eigenspaces",
with Cheryl E. Praeger)
DMTCS, 16 (1), 303-312,
2014.
``Complexity of group multiplication",
with M.F. Newman.
J. Algebra , 421 , 425-320,
doi:10.1016/j.algebra.2014.08.0362015.
``Finding permutations containing long cycles in finite alternating and
symmetric groups acting on subsets",
with Steve Linton and Cheryl E. Praeger.
J. of Algebra Comb. Discrete Structures and
Appl. 2(2), p.117-149,
2015.
``Finding involutions with small support",
with Tomasz Popiel,
Bulletin of the Australian Mathematical Society 94 (1), p. 43-47,
2016.
``Primitive Prime Divisors and the n-th
Cyclotomic polynomial",
with S. P. Glasby, Frank Lübeck and
Cheryl E. Praeger, J. Aust. Math. Soc. 102 (1), p. 122-135, doi: 10.1017/S1446788715000269,
2017.
``On the complexity of multiplication in the Iwahori Hecke algebra of the symmetric group",
with Götz Pfeiffer and Cheryl E. Praeger,
Journal of Symbolic Computation 80 (3), p. 817-832,
http://dx.doi.org/10.1016/j.jsc.2016.09.001,
2017.
accepted
``The Divisibility Graph of finite groups of Lie Type",
with Adeleh Abdolghafourian and Mohammad A. Iranmanesh,
J. of Pure and Applied Algebra (to appear)
submitted
``Maximal linear groups induced on the Frattini quotient of a p-group",
with John Bamberg, S. P. Glasby and Luke Morgan.
``Simplicial Surfaces controlled by one Triangle",
with Karl-Heinz Brakhage, Wilhelm Plesken,
and Ansgar Strzelczyk
Research Reports (not
appearing elsewhere)
``Two families of block-transitive point-imprimitive designs'', with Werner
Nickel, Research Report No SMS-022-90 Mathematics Research Section School
of Mathematical Sciences ANU, 1990.
``The p-Quotient Algorithm in GAP", with Frank Celler, M.F. Newman &
Werner Nickel. Research Report No SMS-127-93 Mathematics Research Section
School of Mathematical Sciences ANU, 1993.
other publications
M. Schönert et al. ``GAP Getting started and reference manual
"
Lehrstuhl D für Mathematik der RWTH Aachen, 1994.
Non-mathematical Publications
``Designing Step Routines". Fitness Focus, Fitness Western Australia Inc,
Issue No. 62, September 2000.
``Seminar presentation skills and university communication''. With Judy
Recher.
``Improving Links between Mathematics and Engineering: Digging Beneath the
Topics",
with Elena Pasternak and Sally Male,
Australasian Association for Engineering Education Conference.
2015.