Quasibases for nonseparable -groups

  • Otto Mutzbauer

    Universität Würzburg, Germany
  • Elias Toubassi

    University of Arizona, Tucson, USA
  • Andrija Vodopivec

    Besigheim, Germany
Quasibases for nonseparable $p$-groups cover

A subscription is required to access this article.


This paper is an extension of the work developed in [4] on quasibases of abelian -groups and based on the doctoral dissertation ofAndrija Vodopivec [5].We introduce the ideas of a -combination and height of an inductive quasibasis and show that the height of a quasibasis is invariant for related inductive quasibases. Moreover, an abelian -group is separable if and only if the heights of all -combinations are zero. Finally, we show that an abelian -group is not reduced if and only if there exists a -combination with infinite height.

Cite this article

Otto Mutzbauer, Elias Toubassi, Andrija Vodopivec, Quasibases for nonseparable -groups. Rend. Sem. Mat. Univ. Padova 144 (2020), pp. 197–215

DOI 10.4171/RSMUP/65