PUBLICATIONS
Here you will find a sample of my publications:
The semisimple conjugacy classes of Chevalley groups of type E6 and E7 (with
I. Janiszczak); Comm. in Alg. (21) (1993), 93-161.
The semisimple conjugacy classes and the generic class number of the finite
simple groups of Lie type of E8 (with I. Janiszczak); Comm. in Alg. (22)
(1994), 2221-2303.
Finite groups have non-Schur centralizers (with I.
Janiszczak and W. Lempken); Manuscripta Mathematica 80 (1993), 210-224 .
Polynomial identities for orbit numbers of
general linear and unitary groups over finite fields , Lin. Alg.
Appl. 253, 341-362 (1997)
The number of regular semisimple classes of
special linear and unitary groups (with I. Janiszczak and R. Knörr); Lin. Alg. Appl. 247, 17-26 (1998).
Squarefree Polynomials over Finite Fields and regul
ar Semisimple Classes of Certain Classical Groups;
Finite Fields and their Applications, 4, 113-139 (1998)
The primitive p-Frobenius Groups (with W. Lempken
and P.H. Tiep) ; Proceedings of the Amer. Math. Soc. 126(5) 1998, 1337-1343.
The p - Intersection Subgroups in Quasi-Simple and Almost Simple Finite Groups;
Rwith W. Lempken and P.H. Tiep); J. of Algebra {\bf 207}, 1-42, (1998).
Linear groups over $GF(2^k)$ generated by a conjugacy
class of a fix point free element of order 3 (with W. Lempken and A.E. Zalesskii);
J. Algebra, Vol. {\bf 244}(2), 2001, 631-663.
On pointwise conjugacy of distinguished coset representatives in
Coxeter groups (2001); to appear in Journal of Group Theory.
Modular Harish - Chandra theory I (mit R. Dipper); Math. Z. 211 (1992).
Modular Harish - Chandra theory II (mit R. Dipper); Arch. Math.62 (1994).
Finite p'-regular groups (with W.Lempken and P.H.
Tiep); J. Algebra 188, (1997), 547-579.
On generators of modular invariant rings of finite
groups (mit W. Lempken); Bull.LMS. 29, 585-591, (1997)
A new degree bound for vector invariants of
symmetric groups; Trans. Amer. Math. Soc. {\bf 350} (1998), 1703-1712.
Relative trace ideals and Cohen - Macaulay quotien
ts of modular invariant rings; Progress in Mathematics, Vol. 173, Birkhaeuser, 1999;
On Degree Bounds for Invariant Rings of Finite
Groups Over Finite Fields (mit W. Lempken); Cont. Math. Vol. 225 (1999)
The Noether Bound in Invariant Theory of Finite Groups;
Advances in Mathematics, Vol. 156, No. 1, December 2000
The Relative Trace Ideal and the Depth of Modular Rings of Invariants;
(with R. J. Shank) (2001); to appear in Archiv der Mathematik.
Invariants of Finite Groups over Finite Fields:Recent Progress and New Conjectures ;
(2002); Proc. of 6th Conference on Finite Fields and their Applications, Oaxaca, Mexico, 2001.
On Invariant Theory Of Finite Groups;
(2003); Proc. of Workshop `Classical Invariant Theory', Kingston, Ontario, 2002
Connections between the algorithms of Berlekamp and
Niederreiter for factoring polynomials over finite fields; Lin. Alg. Appl. 192
(1993), 101-108
Comparative implementations of Berlekamp's and
Niederreiter's polynomial factorization algorithms (with P.Roelse); Finite
Fields and Applications S. Cohen and H. Niederreiter (eds.) LMS Lecture Note
Series, 73-83 (1996)
The Black-Box Niederreiter Algorithm and its Implementation Over the Binary Field,(with
M. Holder and P.L.A. Roelse, Math. of Comp., to appear
The lattices and Moebius functions of stable closed subrootsystems and
hyperplane complements for classical Weyl groups (with I. Janiszczak) ;
Manuscripta Mathematica 72 (1991), 375-403.
Combinatorics and Poincare polynomials of hyperplane complements for
exceptional Weyl groups (with I. Janiszczak); J. of Comb. Ser. A 63(2) (1993),
257-277
Finite fields, root systems and Orbit Numbers of
Chevalley groups, Finite Fields and its Applications 3 (1997), 33-47
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