Some thin pro-p-groups

Mattarei, Sandro (1999) Some thin pro-p-groups. Journal of Algebra, 220 (1). pp. 56-72. ISSN 0021-8693

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Abstract

A pro-p-group is called thin if its lattice of closed normal subgroups contains no more than p + 1 pairwise incomparable elements. An investigation of certain (infinite) thin pro-p-groups was made in [A. Caranti et al. Quart. J. Math. Oxford47 (1996), 279–296], by studying the graded Lie algebras associated with their lower central series. In particular, the main result of [A. Caranti et al. Quart. J. Math. Oxford47 (1996), 279–296] asserts that those graded Lie algebras are, in certain cases, uniquely determined by their quotients of low dimension. In the present paper we construct pro-p-groups which have, associated with their lower central series, the graded Lie algebras of [A. Caranti et al. Quart. J. Math. Oxford47 (1996), 279–296].

Keywords:thin pro-p-groups, associated graded Lie algebras
Subjects:G Mathematical and Computer Sciences > G100 Mathematics
Divisions:College of Science > School of Mathematics and Physics
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ID Code:18519
Deposited On:16 Nov 2016 13:35

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