2 citations · 8 across the 17 of their papers we have counts for
20 papers
Counterexamples to the Zassenhaus conjecture on simple modular Lie algebras
Dietrich Burde, Wolfgang Moens, Pilar Páez-Guillán
We provide an infinite family of counterexamples to the conjecture of Zassenhaus on the solvability of the outer derivation algebra of a simple modular Lie algebra. In fact, we sho…
Finite groups admitting a coprime automorphism satisfying an additional polynomial identity
Wolfgang Alexander Moens
It is known that a finite group with an automorphism of coprime order has a soluble radical of -bounded Fitting height and index. We extend this classic result…
Semisimple decompositions of Lie algebras and prehomogeneous modules
Dietrich Burde, Wolfgang Alexander Moens
We study {\em disemisimple} Lie algebras, i.e., Lie algebras which can be written as a vector space sum of two semisimple subalgebras. We show that a Lie algebra is…
Fitting height of finite groups admitting a fixed-point-free automorphism satisfying an additional polynomial identity
E. I. Khukhro, W. A. Moens
Let be a non-zero polynomial with integer coefficients. An automorphism of a group is said to satisfy the elementary abelian identity if the linear transforma…
The Fitting height of finite groups with a fixed-point-free automorphism satisfying an identity
Wolfgang Alexander Moens
Motivated by classic theorems of Thompson and Berger on the Fitting height of finite groups with a fixed-point-free automorphism of coprime order, we conjecture that, for every non…
The structure of Lie algebras with a derivation satisfying a polynomial identity
D. Burde, W. A. Moens
We prove nilpotency results for Lie algebras over an arbitrary field admitting a derivation, which satisfies a given polynomial identity . For the polynomial we o…