Afhalen na 1 uur in een winkel met voorraad
Gratis thuislevering in België vanaf € 30
Ruim aanbod met 7 miljoen producten

Afhalen na 1 uur in een winkel met voorraad
Gratis thuislevering in België vanaf € 30
Ruim aanbod met 7 miljoen producten

Winkels

Verlanglijstje

Winkels

Verlanglijstje

Zoeken

Volg ons op

Wist je dat er in Vlaanderen voor iedereen een Standaard Boekhandel is binnen een straal van 7 km?

Zoek een winkel

€ 68,95

+ 137 punten

Levertermijn 1 à 4 weken

Eenvoudig bestellen

Veilig betalen

Gratis thuislevering vanaf € 30 (via bpost)

Gratis levering in je Standaard Boekhandel

Omschrijving

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 gives a survey on the known structure of these groups and he proved two types of periodic patterns in the associated coclass graph. These patterns are reflected in the structure of the groups and the achieved results strongly support the conjecture that the p-groups of maximal class can be classified.