JournalsjcaVol. 3, No. 2pp. 113–152

Formations of finite groups with the M. Hall property

  • Karl Auinger

    Universität Wien, Austria
  • Alexander Bors

    The University of Western Australia, Crawley, Australia
Formations of finite groups with the M. Hall property cover

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Abstract

The first examples of formations which are arboreous (and therefore Hall) but not freely indexed (and therefore not locally extensible) are found. Likewise, the first examples of solvable formations which are freely indexed and arboreous (and therefore Hall) but not locally extensible are constructed. Some open questions are also mentioned.

Cite this article

Karl Auinger, Alexander Bors, Formations of finite groups with the M. Hall property. J. Comb. Algebra 3 (2019), no. 2, pp. 113–152

DOI 10.4171/JCA/28