Formations of finite groups with the M. Hall property

Karl Auinger; Alexander Bors

doi:10.4171/JCA/28

Formations of finite groups with the M. Hall property

Karl Auinger, Alexander Bors

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	113-152
Number of pages	40
Journal	Journal of Combinatorial Algebra
Volume	3
Issue number	2
DOIs	https://doi.org/10.4171/JCA/28
Publication status	Published - 2019

Access to Document

10.4171/JCA/28

Cite this

@article{525109d7614d4ac49f96ff401f3079c0,

title = "Formations of finite groups with the M. Hall property",

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 = "Profinite group, profinite graph, tree-like graph, formation of finite groups, SUBGROUPS, TOPOLOGY",

author = "Karl Auinger and Alexander Bors",

year = "2019",

doi = "10.4171/JCA/28",

language = "English",

volume = "3",

pages = "113--152",

journal = "Journal of Combinatorial Algebra",

issn = "2415-6302",

publisher = "European Mathematical Soc",

number = "2",

}

TY - JOUR

T1 - Formations of finite groups with the M. Hall property

AU - Auinger, Karl

AU - Bors, Alexander

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

KW - Profinite group

KW - profinite graph

KW - tree-like graph

KW - formation of finite groups

KW - SUBGROUPS

KW - TOPOLOGY

U2 - 10.4171/JCA/28

DO - 10.4171/JCA/28

M3 - Article

SN - 2415-6302

VL - 3

SP - 113

EP - 152

JO - Journal of Combinatorial Algebra

JF - Journal of Combinatorial Algebra

IS - 2

ER -

Formations of finite groups with the M. Hall property

Abstract

Access to Document

Fingerprint

Cite this