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pro vyhledávání: '"Werner Nickel"'
Autor:
Werner Nickel, Bettina Eick
Publikováno v:
Journal of Algebra. 320:927-944
We describe effective algorithms for computing a polycyclic presentation of the Schur multiplicator, a Schur cover, the nonabelian exterior square and the nonabelian tensor square of a polycyclic group given by a polycyclic presentation. Additionally
Publikováno v:
Journal of Algebra. 316(2):591-607
In the first part [C. Bennett, R. Gramlich, C. Hoffman, S. Shpectorov, Odd-dimensional orthogonal groups as amalgams of unitary groups. Part 1: General simple connectedness, J. Algebra 312 (2007) 426–444], a characterization of central quotients of
Autor:
Werner Nickel, Peter Maier
Publikováno v:
The American Mathematical Monthly. 114:1-13
(2007). Attainable Patterns in Alien Tiles. The American Mathematical Monthly: Vol. 114, No. 1, pp. 1-13.
Publikováno v:
Journal of Algebra. 284(1):141-173
This article is part of the program described in [C.D. Bennett, R. Gramlich, C. Hoffman, S. Shpectorov, Curtis–Phan–Tits theory, in: A.A. Ivanov et al. (Eds.), Groups, Combinatorics and Geometry, Proceedings of the Durham Conference on Groups and
Autor:
Willem A. de Graaf, Werner Nickel
Publikováno v:
Journal of Symbolic Computation. 33(1):31-41
We formulate an algorithm for calculating a representation by unipotent matrices over the integers of a finitely-generated torsion-free nilpotent group given by a polycyclic presentation. The algorithm works along a polycyclic series of the group, ea
Autor:
Werner Nickel
Publikováno v:
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics. 67:214-222
This paper reports on a facility of the ANU NQ program for computation of nilpotent groups that satisfy an Engel-n identity. The relevant details of the algorithm are presented together with results on Engel-n groups for moderate values of n.
Publikováno v:
Mathematische Zeitschrift. 227:645-661
Publikováno v:
Acta Crystallographica Section A Foundations of Crystallography. 53:467-474
This paper describes algorithms for the computation of conjugacy classes of maximal subgroups and the Wyckoff positions of a space group. The algorithms are implemented in the computational group-theory system GAP and use existing standard functions
Publikováno v:
University of Western Australia
The block-transitive point-imprimitive 2-(729,8,1) designs are classified. They all have full automorphism group of order 729.13 which is an extension of a groupN of order 729, acting regularly on points, by a group of order 13. There are, up to isom