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2009 Constructing CF Groups by Coclass
Bettina Eick, Dörte Feichtenschlager
Experiment. Math. 18(2): 205-211 (2009).

Abstract

A pro-$p$-group is a CF group if all (except possibly the first) of its lower central series factors have order $p$. We describe a construction for a class of just-infinite CF pro-$p$-groups with fixed coclass. Based on that, we observe that the class of infinite CF pro-$p$-groups is comparatively large within the class of all just-infinite pro-$p$-groups of fixed coclass.

Citation

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Bettina Eick. Dörte Feichtenschlager. "Constructing CF Groups by Coclass." Experiment. Math. 18 (2) 205 - 211, 2009.

Information

Published: 2009
First available in Project Euclid: 25 November 2009

zbMATH: 1187.20022
MathSciNet: MR2549690

Subjects:
Primary: 20D15
Secondary: 20E18, 20F18

Rights: Copyright © 2009 A K Peters, Ltd.

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Vol.18 • No. 2 • 2009
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