p-groups of maximal class, Fachbücher von Heiko Dietrich
The classification of finite p-groups up to isomorphism is an intricate problem in group theory. In particular, a classificat... Mehr erfahren
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The classification of finite p-groups up to isomorphism is an intricate problem in group theory. In particular, a classification by order seems to be hopeless in general. In 1980, Leedham-Green and Newman suggested to classify p-groups by coclass. This has led to a new research area which delivered a deep insight into the structure of p-groups. New approaches and results concerning a classification by coclass have been developed since 1999, and it is known that the 2-groups of fixed coclass can be classified. A fundamental tool in this approach is the investigation of the coclass graph associated with these groups. For odd primes, a similar classification is still open. As an important special case, the author Heiko Dietrich investigates the p-groups of coclass 1, that is, the p-groups of maximal class. These are the p-groups of order p to the power of n with nilpotency class n-1. He giv.
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