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Periodic patterns in the graph of p-groups of maximal class
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Heiko Dietrich
Published/Copyright:
May 30, 2010
Abstract
We investigate the graph associated with the p-groups of maximal class. Our main result is a periodicity theorem which extends recent results of du Sautoy and of Eick and Leedham-Green. We also obtain further details on the shape of the graph.
Received: 2008-06-13
Revised: 2009-11-07
Published Online: 2010-05-30
Published in Print: 2010-November
© de Gruyter 2010
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Articles in the same Issue
- The power graph of a finite group, II
- On p-Brauer characters of p′-degree and self-normalizing Sylow p-subgroups
- Finite groups whose irreducible characters vanish on at most three conjugacy classes
- The conjugacy of triality subgroups of Sylow subloops of Moufang loops
- On two questions of L. A. Shemetkov concerning hypercyclically embedded subgroups of finite groups
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- Lower bounds for representation growth
- Reflexive group topologies on Abelian groups
- On abstract commensurators of groups
- On the SQ-universality of groups with special presentations
