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    A CHARACTERIZATION OF UNIFORM PRO-p GROUPS (2014)
    Oxford University Press
    Details
    Publication Date: 2014-11-20
    Description: In the present paper, we propose and supply evidence for the following conjecture, aimed at characterizing uniform pro- p groups. Suppose that p ≥3 and let G be a torsion-free pro- p group of finite rank. Then G is uniform if and only if its minimal number of generators is equal to the dimension of G as a p -adic manifold, i.e. d ( G ) = dim( G ). In particular, we prove that the assertion is true whenever G is soluble or p 〉 dim( G ).
    Print ISSN: 0033-5606
    Electronic ISSN: 1464-3847
    Topics: Mathematics
    Published by Oxford University Press
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