Infinite sequences of p-groups with fixed coclass

2010/06/04 by Bettina Eick, Eick, Bettina, Dörte Feichtenschlager +1
Mathematics · #20D15 #20F05 #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Rings, Modules, and Algebras #math.GR #msc:20D15 #msc:20F05

paper · pdf · doi:10.48550/arxiv.1006.0961

14 pages, 3 figures

arxiv created 2010/06/04 · openalex publication_date 2010/06/04 · arxiv updated 2010/07/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Eick & Leedham-Green sketched a construction for infinite sequences of finite p-groups with fixed coclass. These infinite sequences have turned out to be very useful in the theory of finite p-groups. We exhibit a detailed description for the construction of the finite sequences and we determine presentations for the infinite sequences for the primes and coclasses (2,1), (2,2) and (3,1).

Citations

• On a special class of p-groups

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