Formations of finite groups with the M. Hall property
Group Theory
2018-10-05 v2
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.
Keywords
Cite
@article{arxiv.1803.04684,
title = {Formations of finite groups with the M. Hall property},
author = {Karl Auinger and Alexander Bors},
journal= {arXiv preprint arXiv:1803.04684},
year = {2018}
}
Comments
40 pages; some corrections and additions to v1 based on reviewers' comments