Infinite sequences of $p$-groups with fixed coclass

Details Infinite sequences of $p$-groups with fixed coclass Infinite sequences of $p$-groups with fixed coclass

2010-06-04

arxiv.org/abs/1006.0961v1

Mathematics

Group Theory

14 pages, 3 figures

Scientific paper

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 $(3,1)$.

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