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.