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.
Publié le : 2009-05-15
Classification:
$P$-groups,
coclass,
CF groups,
$p$-adic space groups,
pro-$p$-groups,
20D15,
20E18,
20F18
@article{1259158431,
author = {Eick, Bettina and Feichtenschlager, D\"orte},
title = {Constructing CF Groups by Coclass},
journal = {Experiment. Math.},
volume = {18},
number = {1},
year = {2009},
pages = { 205-211},
language = {en},
url = {http://dml.mathdoc.fr/item/1259158431}
}
Eick, Bettina; Feichtenschlager, Dörte. Constructing CF Groups by Coclass. Experiment. Math., Tome 18 (2009) no. 1, pp. 205-211. http://gdmltest.u-ga.fr/item/1259158431/