Dr Alla Detinko
Honorary Research Lecturer
in Mathematics
School
of Mathematics, Statistics and Applied Mathematics
Picture
Events
- Third de Brún Workshop on
Computational Algebra here.
- Public lecture by Professor Efim
Zelmanov here.
- International Conference on Design Theory and
Applications here.
- The 5th de Brún Workshop here.
See also ‘Groups, Computing, Designs’ here.
Research
I have been
doing research in various fields of group theory and its applications for a
number of years. My main results deal with computational group theory (mainly
computing with matrix groups), linear groups, and subgroups of algebraic
groups.
Some recent publications
Book: Probabilistic Group Theory, Combinatorics,
and Computing, Lectures from the Fifth de Brún
Workshop, Lecture
Notes in Mathematics, Vol. 2070, Springer, 2013, 114 pp. (eds: with D. Flannery, E. O'Brien)
- A.
Detinko, D. Flannery, A. Hulpke
Algorithms for arithmetic groups
with the congruence subgroup property, Journal
of Algebra, 421 (2015) 234-259.
- A.
Detinko, D. Flannery, W. de Graaf
Integrality and arithmeticity
of solvable linear groups, Journal
of Symbolic Computation, 68(2015)138–145.
- A.
Detinko, D. Flannery, E. O’Brien Algorithms
for linear groups of finite rank, Journal
of Algebra, 393 (2013), 187–196.
- A.
Detinko, D. Flannery, E. O’Brien Recognition
of finite matrix groups over infinite fields, Journal
of Symbolic Computation, 50 (2013), 100–109.
- A. Detinko, D. Flannery, E Computing with matrix groups over infinite
fields, Oberwolfach Reports, Volume 8, Issue 3, 2011, 2118
– 2121.
- A.
Detinko, D. Flannery, E. O’Brien Algorithms
for the Tits alternative and related problems, Journal
of Algebra, 344 (2011) 397–406.
- A. Detinko, D. Flannery, B. Eick Computing with matrix groups over
infinite fields, London Mathematical Society Lecture
Note Series, LMS Lecture Note Series,
387 (2011) 256-270.
- A. Detinko, D. Flannery, E.
O’Brien Deciding finiteness
of matrix groups in positive characteristic, Journal of Algebra,
322 (2009), no. 11, 4151-4160.
- A.
Detinko, D. Flannery On deciding finiteness of matrix groups,
Journal of Symbolic Computation,
44 (2009), no.1, 1037-1043.
- A.
Detinko, D. Flannery Periodic subgroups of projective linear
groups in positive characteristic, Central European Journal of
Mathematics, 6 (2008), no. 3, 384-392.
- A. Detinko, D. Flannery Algorithms for
computing with nilpotent matrix groups over infinite domains, Journal of Symbolic Computation,
43 (2008), no. 1, 8-26.
- A. Detinko, D. Flannery
Computing in nilpotent matrix groups,
LMS Journal of
Computation and Mathematics, 9 (2006), 104-134.
- A. Detinko, D. Flannery
Locally nilpotent linear groups,
Irish
Mathematical Society Bulletin, 56 (2005), 37–51.
- A. Detinko, D. Flannery
Nilpotent primitive linear groups
over finite fields, Comm.
Algebra 33
(2005), 497-505.
- A. Detinko, D. Flannery
Classification of nilpotent
primitive linear groups over finite fields, Glasgow Mathematical Journal
46 (2004), 3, 585-594.
- A. Detinko A new GAP group library for irreducible
maximal solvable subgroups of prime degree classical groups,
J. Math.Sci.
(New York), 108 (2002), no.6, 942-950.
- A. Detinko On deciding finiteness for matrix groups over fields of
positive characteristic, LMS Journal of Computation and Mathematics, 4
(2001), 64-72.
(see other publications here )
Some software
- Matrix
groups over infinite fields, Magma package, 2009 (with D. Flannery, E.O’Brien) More details..
- GAP 4 package Nilmat (with B. Eick, D.
Flannery) here.
- Computer group library for solvable matrix groups here.
Selected
conference presentations
-
Algorithms for
Linear Groups, 2014 (Banff International Research Station, Canada); (video).
-
Groups, Computation
and Geometries, 2014 (Colorado State University, USA).
-
Groups St Andrews
2013 (University of St Andrews, Scotland); (more…).
-
Questions,
Algorithms, and Computations in Abstract Group Theory, 2013 (TU Braunschweig, Germany).
-
Computational
Group Theory, 2011 (Oberwolfach, Germany).
-
Combinatorics,
Groups, Algorithms, and Complexity, 2010 (The Ohio State University, USA),
(more...).
-
Groups
St Andrews 2009, (University of Bath, UK).
-
The 11th Rhine
Workshop on Computer Algebra, 2008 (Levico Terme, Italy).
-
Nikolaus Conference 2006, (RWTH, Aachen, Germany).
-
Groups in Galway
2004 (NUI, Galway, Ireland).
-
DIAS Symposium
2003 (The Dublin Institute for Advanced Studies, Dublin, Ireland).
-
Nikolaus Conference 2003 (RWTH, Aachen, Germany), (more ...).
Miscellaneous
- I have been awarded a
number of research grants by various bodies (Science Foundation Ireland,
Enterprise Ireland, DAAD etc). I also participated as a co-Principal
Investigator or Collaborator in many international funded research
projects (some of these projects joint with my collaborator Dane
Flannery ). More details..
- I am a regular
reviewer for Mathematical Review (see my reviews here). Also I am a
member of the American Mathematical Society.