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math.GR2023
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…
math.GR2023★ 9 cited
The maximal subgroups of the Monster
Heiko Dietrich, Melissa Lee, Tomasz Popiel
The classification of the maximal subgroups of the Monster is a long-standing problem in finite group theory. According to the literature, the classification is comple…
math.GR2023
Elementary abelian subgroups: from algebraic groups to finite groups
Jianbei An, Heiko Dietrich, Alastair J. Litterick
We describe a new approach for classifying conjugacy classes of elementary abelian subgroups in simple algebraic groups over an algebraically closed field, and understanding the no…