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» Computing in Solvable Matrix Groups
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FOCS
1992
IEEE
13 years 9 months ago
Computing in Solvable Matrix Groups
We announce methods for e cient management of solvable matrix groups over nite elds. We show that solvability and nilpotence can be tested in polynomial-time. Such e ciency seems ...
Eugene M. Luks
ICTCS
2005
Springer
13 years 10 months ago
Quantum Algorithms for a Set of Group Theoretic Problems
This work introduces two decision problems, StabilizerD and Orbit CosetD, and gives quantum reductions from them to the problem Orbit Superposition (Friedl et al., 2003), as well a...
Stephen A. Fenner, Yong Zhang
MOC
2000
85views more  MOC 2000»
13 years 5 months ago
Conjugacy classes in finite permutation groups via homomorphic images
The lifting of results from factor groups to the full group is a standard technique for solvable groups. This paper shows how to utilize this approach in the case of non-solvable n...
Alexander Hulpke
ICMS
2010
13 years 3 months ago
Computing Polycyclic Quotients of Finitely (L-)Presented Groups via Groebner Bases
We announce the development and implementation of a new GAP package PCQL. This facilitates the computation of consistent polycyclic presentations for polycyclic quotients of groups...
Bettina Eick, Max Horn
STOC
2009
ACM
156views Algorithms» more  STOC 2009»
14 years 5 months ago
Polynomial-time theory of matrix groups
We consider matrix groups, specified by a list of generators, over finite fields. The two most basic questions about such groups are membership in and the order of the group. Even...
László Babai, Robert Beals, Á...