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Profile
| Academic position | Full Professor |
|---|---|
| Research fields | Group theory and generalizations |
| Keywords | Linear groups, Computational group theory, Algorithms for matrix groups, Groups of prime-power order, Group construction methods |
Current contact address
| Country | New Zealand |
|---|---|
| City | Auckland |
| Institution | University of Auckland |
| Institute | Department of Mathematics |
| Homepage | www.humboldt.org.nz |
Host during sponsorship
| Prof. Dr. Joachim Neubüser | Lehrstuhl D für Mathematik (Algebra, inbes. Gruppen- und Darstellungstheorie, algorithmische Methoden in diesen Gebieten.), Rheinisch-Westfälische Technische Hochschule Aachen (RWTH), Aachen |
|---|---|
| Prof. Dr. Bettina Eick | Institut Computational Mathematics, Technische Universität Carolo-Wilhelmina zu Braunschweig, Braunschweig |
| Prof. Dr. Bettina Eick | Institut für Analysis und Algebra, Technische Universität Carolo-Wilhelmina zu Braunschweig, Braunschweig |
| Prof. Dr. Christopher Voll | Institut für Analysis und Algebra, Technische Universität Carolo-Wilhelmina zu Braunschweig, Braunschweig |
| Prof. Dr. Alice Niemeyer | Institut für Analysis und Algebra, Technische Universität Carolo-Wilhelmina zu Braunschweig, Braunschweig |
| Prof. Dr. Christopher Voll | Fakultät für Mathematik, Universität Bielefeld, Bielefeld |
| Prof. Dr. Alice Niemeyer | Lehrstuhl B für Mathematik (Algebra), Rheinisch-Westfälische Technische Hochschule Aachen (RWTH), Aachen |
| Start of initial sponsorship | 01/11/1995 |
Programme(s)
| 1995 | Humboldt Research Fellowship Programme |
|---|---|
| 2024 | Humboldt Research Award Programme |
Nominator's project description
| Professor O'Brien is internationally recognised as a world expert in the field of group theory, particularly the development of highly effective algorithms for constructing and analysing groups, and their application to answer major long-standing research problems. His algorithms are incorporated into the leading computational algebra systems and are used widely by other research groups. During his research stay in Germany, he plans to work on the development of algorithms for linear groups. |
Publications (partial selection)
| 2011 | Eamonn A. O'Brien Wolfgang Willems: On the automorphism group of a binary self-dual doubly-even [72,36,16] code. In: IEEE Trans. Inform. Theory , 2011, 4445-4451 |
|---|---|
| 2008 | John H. Conway Heiko Dietrich Eamonn A. O'Brien: Counting groups: gnus, moas and other exotica. In: Mathematical Intelligencer , 2008, 6-15 |
| 2007 | Frank Luebeck Kay Magaard Eamonn A. O'Brien: Constructive recognition for SL3(q). In: Journal of Algebra, 2007, 617-633 |
| 2006 | Stefka Bouyuklieva E.A. O'Brien Wolfgang Willems: The automorphism group of a binary self-dual doubly-even [72,36,16] code is solvable. In: IEEE Trans. Inform. Theory, 2006, 4244-4247 |
| 2006 | Bettina Eick M.F. Newman E.A. O'Brien: The class-breadth conjecture revisited. In: Journal of Algebra , 2006, 384-393 |
| 2005 | Derek F. Holt Bettina Eick Eamonn A. O'Brien: Handbook of Computational Group Theory. CRC 2005 |
| 2002 | Hans Ulrich Besche Bettina Eick Eamonn A. O'Brien: A millennium project: constructing small groups. In: International Journal Algebra and Computation, 2002, 623-644 |
| 2002 | Bettina Eick, C. R. Leedham-Green, E. A. O'Brien: Constructing automorphism groups of p-groups. In: Communications in Algebra , 2002, 2271-2295 |
| 2001 | Hans Ulrich Besche Bettina Eick Eamonn A. O'Brien: The groups of order at most 2000. In: Electronic Research Announcements of the American Math. Society , 2001, 1-4 |
| 1999 | Bettina Eick Eamonn A. O'Brien: Enumerating p-groups. In: Journal of the Australian Mathematical Society , 1999, 191-205 |