Formations of finite groups with the M. Hall property

Karl Auinger, Alexander Bors

Research output: Contribution to journalArticle


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.

Original languageEnglish
Pages (from-to)113-152
Number of pages40
JournalJournal of Combinatorial Algebra
Issue number2
Publication statusPublished - 2019

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