The origins of Coclass Theory

Heiko Dietrich; Bettina Eick

doi:10.1007/s00013-023-01867-w

The origins of Coclass Theory

Heiko Dietrich, Bettina Eick

School of Mathematics

Research output: Contribution to journal › Article › Other › peer-review

Abstract

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 work has initiated a deep and fruitful research project in group theory that is still ongoing today. We outline the main results of this celebrated article, we describe the history leading to it, and we survey some highlights of work inspired by these results.

Original language	English
Pages (from-to)	495–510
Number of pages	16
Journal	Archiv der Mathematik
Volume	121
DOIs	https://doi.org/10.1007/s00013-023-01867-w
Publication status	Published - 27 Jun 2023

Keywords

Coclass graphs
Coclass theory
Finite p-groups
Infinite pro-p-groups

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10.1007/s00013-023-01867-wLicence: CC BY

Cite this

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KW - Infinite pro-p-groups

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The origins of Coclass Theory

Abstract

Keywords

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