Modular chains in infinite groups View Full Text


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Article Info

DATE

2021-10-20

AUTHORS

Maria De Falco, Francesco de Giovanni, Carmela Musella

ABSTRACT

The aim of this paper is to investigate the behaviour of projective images of the groups which are finite over a term of their upper central series. In particular, we prove that for any positive integer k, the class of finitely generated groups in which the k-th term of the upper central series has finite index can be described in terms of lattice invariants, and so it is invariant under projectivities. In this context, we also study groups that have only finitely many maximal subgroups which are not permodular. More... »

PAGES

601-612

References to SciGraph publications

  • 1972. Finiteness Conditions and Generalized Soluble Groups, Part 1 in NONE
  • 1951-12. Endlichkeitskriterien für Kommutatorgruppen in MATHEMATISCHE ANNALEN
  • 1982-12. Una relazione di normalità sul reticolo dei sottogruppi di un gruppo in ANNALI DI MATEMATICA PURA ED APPLICATA (1923 -)
  • 2008-06-02. The Schur property for subgroup lattices of groups in ARCHIV DER MATHEMATIK
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00013-021-01665-2

    DOI

    http://dx.doi.org/10.1007/s00013-021-01665-2

    DIMENSIONS

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