4 papers
A computational approach to almost-inner derivations
Heiko Dietrich, Willem A. de Graaf
We present a computational approach to determine the space of almost-inner derivations of a finite dimensional Lie algebra given by a structure constant table. We also present an e…
Indeed, the Monster has no almost simple maximal subgroup with socle
Heiko Dietrich, Melissa Lee, Tomasz Popiel
The classification of the maximal subgroups of the Monster is believed to be complete subject to an unpublished result of Holmes and Wilson asserting that …
The origins of Coclass Theory
Heiko Dietrich, Bettina Eick
In 1980, Leedham-Green and Newman introduced the invariant coclass to the theory of groups of prime-power order and they proposed five far-reaching conjectures related to it. Their…
Regular subalgebras and nilpotent orbits of real graded Lie algebras
H. Dietrich, Paolo Faccin, Willem A. de Graaf
For a semisimple Lie algebra over the complex numbers, Dynkin (1952) developed an algorithm to classify the regular semisimple subalgebras, up to conjugacy by the inner automorphis…