The origins of Coclass Theory

Author:

Dietrich Heiko,Eick BettinaORCID

Abstract

AbstractIn 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.

Funder

Technische Universität Braunschweig

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

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