Norberto Gavioli, Valerio Monti, Carlo Maria Scoppola
Soluble normally constrained pro-p-groups
A pro-p-group G is said to be normally constrained (or, equivalently, of obliquity zero) if every open normal subgroup of G is trapped between two consecutive terms of the lower central series of G.
In this paper infinite soluble normally constrained pro-p-groups, for an odd prime p, are shown to be 2-generated. A classification of such groups, up to the isomorphism type of their associated Lie algebra, is provided in the finite coclass case, for p > 3. Moreover, we give an example of an infinite soluble normally constrained pro-p-group whose lattice of open normal subgroups is isomorphic to that of the Nottingham group.
Some general results on the structure of soluble just infinite pro-p-groups are proved on the way.
Journal of Group Theory, Walter de Gruyter
Print ISSN: 1433-5883
Volume: 10, 05/2007
Pages: 321 - 345
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