Bettina Eick

发表

Constructing Groups of ‘Small’ Order: Recent Results and Open Problems

Bettina Eick, Max Horn, Alexander Hulpke, 2017 .

Construction of Finite Groups

Bettina Eick, Hans Ulrich Besche, B. Eick, 1999, J. Symb. Comput..

Computing polycyclic presentations for polycyclic rational matrix groups

Bettina Eick, Björn Assmann, 2005, J. Symb. Comput..

The automorphism group of a finitely generated virtually abelian group

Bettina Eick, 2016, Groups Complex. Cryptol..

Algorithms for Crystallographic Groups

Bettina Eick, Bernd Souvignier, B. Eick, 2006 .

The isomorphism problem for torsion free nilpotent groups of Hirsch length at most 5

Bettina Eick, Ann-Kristin Engel, 2017, Groups Complex. Cryptol..

Computational Aspects of Group Extensions and Their Applications in Topology

Bettina Eick, Karel Dekimpe, 2002, Exp. Math..

Computing Polycyclic Quotients of Finitely (L-)Presented Groups via Groebner Bases

Bettina Eick, Max Horn, 2010, ICMS.

A nilpotent quotient algorithm for finitely presented associative $\mathbb {Z}$-algebras and its application to integral group rings

Bettina Eick, Tobias Moede, B. Eick, 2020, 75 Years of Mathematics of Computation.

Group extensions with special properties

Bettina Eick, Andreas Distler, 2015, Groups Complex. Cryptol..

Advanced Computations in Finite Groups

Derek F. Holt, Bettina Eick, E. A. O'Brien, 2005 .

Computing Nilpotent Quotients of Associative Algebras and Algebras Satisfying a Polynomial Identity

Bettina Eick, 2011, Int. J. Algebra Comput..

Rewriting Systems and the Knuth-Bendix Completion Process

Derek F. Holt, Bettina Eick, E. A. O'Brien, 2005 .

The conjugacy problem in GL (n,Z)

E. A. O'Brien, Bettina Eick, Tommy Hofmann, 2018, J. Lond. Math. Soc..

On the orbit-stabilizer problem for integral matrix actions of polycyclic groups

Bettina Eick, Gretchen Ostheimer, 2003, Math. Comput..

Computing Subgroups by Exhibition in Finite Solvable Groups

Bettina Eick, Charles R. B. Wright, 2002, J. Symb. Comput..

Coclass Theory for Finite Nilpotent Associative Algebras: Algorithms and a Periodicity Conjecture

Bettina Eick, Tobias Moede, 2017, Exp. Math..

Computation of Low-Dimensional (Co)Homology Groups for Infinite Sequences of P-Groups with Fixed Coclass

Bettina Eick, Dörte Feichtenschlager, 2011, Int. J. Algebra Comput..

A Nilpotent Quotient Algorithm for Certain Infinitely Presented Groups and its Applications

Laurent Bartholdi, Bettina Eick, René Hartung, 2008, Int. J. Algebra Comput..

The Groups of Order 512

Bettina Eick, E. A. O'Brien, E. O'Brien, 1997, Algorithmic Algebra and Number Theory.

Special polycyclic generating sequences for finite soluble groups

John J. Cannon, Charles R. Leedham-Green, Bettina Eick, 2004, J. Symb. Comput..

On the Classification of Groups of Prime-Power Order by Coclass: the 3-Groups of Coclass 2

Charles R. Leedham-Green, Bettina Eick, Eamonn A. O'Brien, 2013, Int. J. Algebra Comput..

Testing polycyclicity of finitely generated rational matrix groups

Bettina Eick, Björn Assmann, 2007, Math. Comput..

A Millennium Project: Constructing Small Groups

Bettina Eick, Hans Ulrich Besche, Eamonn A. O'Brien, 2002, Int. J. Algebra Comput..

The GAP Package LiePRing

Bettina Eick, Michael Vaughan-Lee, 2020, ICMS.

Finite State Automata and Automatic Groups

Derek F. Holt, Bettina Eick, E. A. O'Brien, 2005 .

The Groups of Order at Most 1000 Except 512 and 768

Bettina Eick, Hans Ulrich Besche, B. Eick, 1999, J. Symb. Comput..

Computation with Polycyclic Groups

Derek F. Holt, Bettina Eick, E. A. O'Brien, 2005 .

A Historical Review of Computational Group Theory

Derek F. Holt, Bettina Eick, E. A. O'Brien, 2005 .

Some new simple Lie algebras in characteristic 2

Bettina Eick, 2010, J. Symb. Comput..

Approximating Generators for Integral Arithmetic Groups

Bettina Eick, 2014, ICMS.

Constructing CF Groups by Coclass

Bettina Eick, Dörte Feichtenschlager, 2009, Exp. Math..

Polynomials describing the multiplication in finitely generated torsion-free nilpotent groups

Bettina Eick, Alexander Cant, 2019, J. Symb. Comput..

Special presentations for finite soluble groups and computing(pre-) Frattini subgroups

Bettina Eick, 1995, Groups and Computation.

Computing the order and the index of a subgroup in a polycyclic group

Bettina Eick, 2021 .

Galois trees in the graph of $p$-groups of maximal class

Heiko Dietrich, Bettina Eick, Tobias Moede, 2021 .

Computing the Schur multipliers of the Lie p-rings in the family defined by a symbolic Lie p-ring presentation

Bettina Eick, Taleea Jalaeeyan Ghorbanzadeh, 2021, J. Symb. Comput..

Determination of the Uniserial Space Groups with a given Coclass

Bettina Eick, B. Eick, 2005 .

The construction of finite solvable groups revisited

Bettina Eick, Max Horn, 2014 .

Computing with infinite polycyclic groups

Bettina Eick, 2001 .

Computing automorphism groups and testing isomorphisms for modular group algebras

Bettina Eick, B. Eick, 2008 .

The modular isomorphism problem for the groups of order 512

Edmund F. Robertson, Colva M. Roney-Dougal, Alexander Konovalov, 2011 .

Groups St Andrews 2001 in Oxford: Computations with almost-crystallographic groups

Bettina Eick, Karel Dekimpe, 2003 .

Hall polynomials for the torsion free nilpotent groups of Hirsch length at most 5

Bettina Eick, Ann-Kristin Engel, .

THE GROUPS OF ORDER qn · p

Bettina Eick, Hans Ulrich Besche, 2001 .

On the number of infinite branches in the graph of all p-groups of coclass r

Bettina Eick, 2005 .

Computing Maximal Subgroups and Wyckoff Positions of Space Groups

Bettina Eick, Franz Gähler, Werner Nickel, 1997 .

Computing the Schur multiplicator and the nonabelian tensor square of a polycyclic group

Bettina Eick, Werner Nickel, B. Eick, 2008 .

Automorphism groups of 2-groups

Bettina Eick, 2006 .

Schur multiplicators of finite p-groups with fixed coclass

Bettina Eick, 2008 .

CONSTRUCTING AUTOMORPHISM GROUPS OF p-GROUPS

Bettina Eick, E. A. O'Brien, C. R. Leedham-Green, 2002 .

On the Fitting Subgroup of a Polycyclic-by-Finite Group and Its Applications☆

Bettina Eick, B. Eick, 2001 .

On the classification of prime-power groups by coclass

Bettina Eick, C. R. Leedham-Green, 2008 .

Binary Relations

Thomas Breuer, Steve Linton, Johannes Meier, 2003 .

Computing the maximal subgroups of a permutation group I

Bettina Eick, Alexander Hulpke, B. Eick, 2001 .

The groups of order at most 2000

Bettina Eick, E. A. O'Brien, Hans Ulrich Besche, 2001 .

The Solvable Primitive Permutation Groups of Degree at Most 6560

Bettina Eick, B. Eick, B. Höfling, 2003 .

Enumerating p-Groups

Bettina Eick, E. A. O'Brien, E. O'Brien, 1999, Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics.