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arXiv · 1006.0961

Infinite sequences of $p$-groups with fixed coclass

Bettina Eick·Dörte Feichtenschlager
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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 $(3,1)$.

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Bettina Eick, Dörte Feichtenschlager. 2010-06-04. Infinite sequences of $p$-groups with fixed coclass. https://arxiv.org/abs/1006.0961

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