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Bettina Eick

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Bettina Eick
Eick at Oberwolfach in 2016
Born1968
Scientific career
ThesisCharakterisierung und Konstruktion von Frattinigruppen mit Anwendungen in der Konstruktion endlicher Gruppen (1996)
Doctoral advisorJoachim Neubüser

Bettina Eick is a German mathematician specializing in computational group theory. She is Professor of Mathematics at the Technische Universität (TU) Braunschweig.

Life and education

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Eick was born on May 16, 1968.[1] She attended the Rheinische-Westfälische Technische Hochschule (RWTH) Aachen from 1987 to 1993.[2] During that time she spent a year at the Queen Mary and Westfield College (currently known as Queen Mary University London).[1] In 1993 she completed her Diplom thesis under the supervision of Joachim Neubüser.[3]

In 1996, Eick earned her PhD also at RWTH Aachen under the supervision of Neubüser. Her dissertation was entitled Charakterisierung und Konstruktion von Frattinigruppen mit Anwendungen in der Konstruktion endlicher Gruppen (Characterization and Constructions of Frattini Groups with Applications to the Construction of Finite Groups).[2][4]

Career

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Eick began her career with postdoctoral positions at RWTH Aachen and the University of Würzburg.[2] She received her habilitation at the University of Kassel in 2001[1] before joining TU Braunschweig.[2]

Eick is known for her work in algorithmic algebra and group theory. Her early work focused on the development of practical algorithms for polycyclic groups and the construction of finite groups. She is one of the main developers of the SmallGroups library. This database contains, among others, a complete list of all groups of order at most 2000, except for order 1024. The list includes more than 400 million finite groups and is available in the computer algebra systems GAP, Magma, SageMath, and Oscar.[5][better source needed][6][7][8]

Since 2000, Eick has been a contributor to the "coclass project" that aims to classify groups of prime power order and other nilpotent algebraic objects using coclass as a primary invariant. In 2005, 2011, and 2017 she was a guest scientist at the University of Auckland working with Eamonn O'Brien and funded by the Feodor Lynen Research Fellowship from the Alexander von Humboldt Foundation.[9][citation needed][10]

Eick is a coauthor of the computer algebra system GAP and has been a member of the GAP council since 2001 (chair since 2021).[11]

Selected publications

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  • Eick, Bettina; Leedham-Green, Charles (2008). "On the classification of prime-power groups by coclass". Bulletin of the London Mathematical Society. 40 (2). Wiley: 274–288. doi:10.1112/blms/bdn007. ISSN 0024-6093. S2CID 119988315.
  • Holt, Derek F.; Eick, Bettina; O'Brien, Eamonn A. (2005). Handbook of computational group theory. Boca Raton: Chapman & Hall/CRC. ISBN 1-58488-372-3. OCLC 56729581.[12]
  • Besche, Hans Ulrich; Eick, Bettina; O'Brien, Eamonn A. (2002). "A Millennium Project: Constructing Small Groups". International Journal of Algebra and Computation. 12 (5). World Scientific Pub Co Pte Lt: 623–644. doi:10.1142/s0218196702001115. ISSN 0218-1967.
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References

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  1. ^ a b c "CV". Bettina Eick. Technische Universität Braunschweig. Retrieved 7 September 2022.
  2. ^ a b c d "Curriculum Vitae (Bettina Eick)" (PDF). AIMS-Volkswagen Stiftung Workshop on Introduction to Computer Algebra and Applications. Africa Institute for Mathematical Sciences. 2017. Retrieved 7 September 2022.
  3. ^ Eick, Bettina; Hulpke, Alexander; Niemeyer, Alice C. (17 May 2022). "Joachim Neubüser (1932 - 2021), Obituary". Jahresbericht der Deutschen Mathematiker-Vereinigung: 147–155. doi:10.1365/s13291-022-00255-7. S2CID 248871579.
  4. ^ Bettina Eick at the Mathematics Genealogy Project
  5. ^ Eick, Bettina; O'Brien, Eamonn. "Chapter 1: The Small Groups Library". The GAP Small Groups Library Documentation. The GAP Group. Retrieved 7 September 2022.
  6. ^ "GAP (smallgrp)-Contents". Retrieved 7 September 2022.
  7. ^ "Magma-Documentation". Retrieved 7 September 2022.
  8. ^ "Oscar: Computer algebra system". Retrieved 7 September 2022.
  9. ^ "SageMath-external packages". Retrieved 7 September 2022.
  10. ^ "New Zealand Association of von Humboldt Fellows". Retrieved 7 September 2022.
  11. ^ "The GAP Council". The GAP Group. Retrieved 7 September 2022.
  12. ^ Review of Handbook of Computational Group Theory
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