Experimental Mathematics

Constructing CF Groups by Coclass

Bettina Eick and Dörte Feichtenschlager

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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.

Article information

Source
Experiment. Math., Volume 18, Issue 2 (2009), 205-211.

Dates
First available in Project Euclid: 25 November 2009

Permanent link to this document
https://projecteuclid.org/euclid.em/1259158431

Mathematical Reviews number (MathSciNet)
MR2549690

Zentralblatt MATH identifier
1187.20022

Subjects
Primary: 20D15: Nilpotent groups, $p$-groups
Secondary: 20E18: Limits, profinite groups 20F18: Nilpotent groups [See also 20D15]

Keywords
$P$-groups coclass CF groups $p$-adic space groups pro-$p$-groups

Citation

Eick, Bettina; Feichtenschlager, Dörte. Constructing CF Groups by Coclass. Experiment. Math. 18 (2009), no. 2, 205--211. https://projecteuclid.org/euclid.em/1259158431


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