Computational aspects of affine representations
for torsion free nilpotent groups
Journal of Pure and Applied Algebra, 84 (1993), pp. 165-190
On the Fitting subgroup of almost crystallographic groups
Tijdschrift van het Belgisch Wiskundig Genootschap, 1993, Serie B, nr. 1, pp. 35-47
There are only finitely many infranilmanifolds under each nilmanifold: a new proof
Indagationes Math., vol. 5, nr. 3 (1994) pp. 259-266
The structure and topological meaning of almost-torsion free groups
Communications in Algebra, vol. 22, nr.7 (1994) pp. 2547-2558
Affine structures for closed 3-dimensional manifolds with NIL-geometry
Quarterly J. Math. Oxford (2), 46 (1995), pp. 141-167
A construction of torsion units in group rings of certain p-groups
Communications in Algebra, 23 (7), 2491-2497 (1995)
Almost-Crystallographic groups with many Outer Automorphisms
Communications in Algebra, nr. 23(8), pp. 3073-3083 (1995)
The construction of affine structures on virtually nilpotent groups
Manuscripta Mathematica 87, pp. 71-88 (1995)
Polynomial structures for nilpotent groups
Trans. A. M. S. , 348, pp. 77-97 (1996)
Polynomial structures for iterated central extensions of abelian by nilpotent groups
Algebraic Topology: New Trends in Localization and Periodicity.
Progress in Mathematics, volume 136, Birkhäuser, Basel (1996), pp. 155-166
Affine structures on a class of virtually nilpotent groups
Topology and its Applications, 1996, 73(2), pp. 97-119
Almost-Bieberbach groups with prime order holonomy
Fundamenta Mathematicae, 1996, 151, pp. 167-176
A note on the torsion elements in the centralizer of a finite index subgroup
Bulletin of the Belgian Math. Soc. - Simon Stevin 3 (1996), 497-500
Almost-Bieberbach Groups: Affine and Polynomial
Structures
Lecture Notes in Mathematics 1639, Springer
(1996)
Polynomial structures and the uniqueness of affinely
flat infra-nilmanifolds
Math. Z. 224, 457-481 (1997)
Polycyclic-by-finite groups admit a bounded-degree polynomial structure
Inventiones Mathematicae 291, 121-140 (1997)
Polynomial Structures on Polycyclic Groups
Trans. AMS 349 (1997) 3597 -3610
The 5-dimensional complete left symmetric algebra structures compatible with an abelian Lie algebra structure
Linear Algebra and its Applications 263 (1997) 349 -375
Chaque groupe polycyclic-par-fini admet une structure polynomiale de
degré borné.
Comptes Rendus de 'l Academie dex Sciences, Paris, 324, Série I (1997),
pp. 303-306
Determining the translational part of the
fundamental group of an infra-solvmanifold of type (R)
Mathematical proceedings of the Cambridge Philosophical Society, 122
(1997), pp. 515-524
Affine structures on 4-step nilpotent Lie algebras
Journal of Pure and Applied Algebra, 120 (1997), pp. 19-37
Left-symmetric structures on weakly graded Lie
algebras
Kyungpook Mathematical Journal, 38 (1998), pp. 163-170
Polycyclic-by-finite groups: from affine to
polynomial structures.
LMS Lecture Note Series, vol 260: ``Groups St. Andrews 1997 in bath I'',
Cambridge University Press, pp. 219-236
Filiform Left Symmetric
Algebras
Geometriae Dedicata 74, (1999) 165-199.
A special class of nilmanifolds admitting an Anosov
diffeomorphism
Proc. A. M. S. , 128, pp. 2171-2179 (2000)
Solvable Lie algebras, Lie groups and polynomial structures
Compositio Mathematica 121 (2000), pp. 183-204.
Semi-simple splittings for solvable Lie groups and polynomial structures
Forum Math. 12 (2000) 77-96.
On the Number of Abelian Left-Symmetric
Algebras
Proceedings of the AMS, 128 (2000), pp. 3191-3200.
Polynomial alternatives for the group of affine
motions
Mathematische Zeitschrift, 234 (2000), pp. 457-485.
Hyperbolic automorphisms and Anosov diffeomorphisms
on nilmanifolds
Transactions of the AMS, 353(7) (2001), pp. 2859-2877
Cohomology vanishing results and polynomial structures
Int. J. Math. 12(2) (2001), pp. 143-158.
Polynomial Structures on Polycyclic Groups: Recent Developments
In ``Crystallographic Groups and Their Generalizations'',
Contemporary Mathematics AMS, Volume 262 (2000)
Bieberbach Theorems For Solvable Lie Groups
To appear in Asian Journal of Mathematics.
Infra-nilmanifolds and their fundamental groups
Journal of the Korean Math. Soc. 38(5) (2001), pp. 883-914
The Uniqueness of Polynomial Crystallographic actions
To appear in Mathematische Annalen
Polynomial crystallographic actions on the plane
To appear in Geometriae Dedicata
Affine and polynomial structures on virtually 2-step solvable groups
Communications in algebra 29(11) (2001), pp. 4965-4988
On Polynomial Products in Nilpotent and Solvable Lie Groups.
(2000), To appear in Proceedings of the American Math. Soc.
Computational aspects of Group extensions and their applications to topology.
(2001), To appear in Experimental Mathematics, 26 pag.
Preprints
Expanding maps on infra-nilmanifolds of homogeneous type
dvi-file
PostScript file
Pdf-file
Expanding maps, Anosov diffeomorphisms and affine structures on
infra-nilmanifolds
Computations with almost-crystallographic groups
Expanding automorphisms and affine structires on nilpotent Lie algebras
with few generators
Translations in simply transitive actions of Heisenberg type Lie groups
Every polycyclic-by-finite group admits a polynomial crystallographic
action of low degree.
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