Heiko Dietrich

activity

20122022

collaborators

12 papers

quant-ph2022

Classification of four-rebit states

Heiko Dietrich, Willem A. de Graaf, Alessio Marrani +1

We classify states of four rebits, that is, we classify the orbits of the group $G (R) = SL (2, R)^{4}$ in the space $(\mathbb R^2)^{\otimes…

math.GR2021

Galois trees in the graph of $p$ -groups of maximal class

Alexander Cant, Heiko Dietrich, Bettina Eick +1

The investigation of the graph $G_{p}$ associated with the finite $p$ -groups of maximal class was initiated by Blackburn (1958) and became a deep and interesting research t…

math.RT2021

A note on étale representations from nilpotent orbits

Heiko Dietrich, Wolfgang Globke, Marcos Origlia

A linear étale representation of a complex algebraic group $G$ is given by a complex algebraic $G$ -module $V$ such that $G$ has a Zariski-open orbit on $V$ and $dim G = dim V$ . A c…

cs.CC2020

Group isomorphism is nearly-linear time for most orders

Heiko Dietrich, James B. Wilson

We show that there is a dense set $\ourset\subseteq \mathbb{N}$ of group orders and a constant $c$ such that for every $n\in \ourset$ we can decide in time $O (n^{2} (lo g n)^{c})$ wheth…

math.GR2020

Generation of finite groups with cyclic Sylow subgroups

Heiko Dietrich, Darren Low

Slattery (2007) described computational methods to enumerate, construct, and identify finite groups of squarefree order. We generalise Slattery's result to the class of finite grou…

math.GR2019

Universal Covers of Finite Groups

Heiko Dietrich, Alexander Hulpke

Motivated by quotient algorithms, such as the well-known $p$ -quotient or solvable quotient algorithms, we describe how to compute extensions $H ~$ of a finite group $H$ by a d…