The finite 1-affine complete Frobenius groups

Jürgen Fuß

doi:10.1007/BF02941279

The finite 1-affine complete Frobenius groups

Jürgen Fuß

Research Center Hagenberg

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

1 Citation (Scopus)

Abstract

We show that compatible functions can be lifted from quotients modulo distributive minimal normal subgroups. This enables us to describe the 1-affine complete groups with a distributive minimal normal subgroup. As an application, we characterise the k-affine complete finite Frobenius groups for every k ∈ N.

Original language	English
Pages (from-to)	229-239
Number of pages	11
Journal	Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg
Volume	73
Issue number	1
DOIs	https://doi.org/10.1007/BF02941279
Publication status	Published - Dec 2003

Keywords

Affine complete groups
Compatible function
Congruence preserving function
Distributive minimal normal subgroup
Frobenius groups

Access to Document

10.1007/BF02941279

Cite this

@article{51035135625e402dbd4b145a56cb1bb9,

title = "The finite 1-affine complete Frobenius groups",

abstract = "We show that compatible functions can be lifted from quotients modulo distributive minimal normal subgroups. This enables us to describe the 1-affine complete groups with a distributive minimal normal subgroup. As an application, we characterise the k-affine complete finite Frobenius groups for every k ∈ N.",

keywords = "Affine complete groups, Compatible function, Congruence preserving function, Distributive minimal normal subgroup, Frobenius groups",

author = "J{\"u}rgen Fu{\ss}",

year = "2003",

month = dec,

doi = "10.1007/BF02941279",

language = "English",

volume = "73",

pages = "229--239",

journal = "Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg",

issn = "0025-5858",

publisher = "Springer",

number = "1",

}

TY - JOUR

T1 - The finite 1-affine complete Frobenius groups

AU - Fuß, Jürgen

PY - 2003/12

Y1 - 2003/12

N2 - We show that compatible functions can be lifted from quotients modulo distributive minimal normal subgroups. This enables us to describe the 1-affine complete groups with a distributive minimal normal subgroup. As an application, we characterise the k-affine complete finite Frobenius groups for every k ∈ N.

AB - We show that compatible functions can be lifted from quotients modulo distributive minimal normal subgroups. This enables us to describe the 1-affine complete groups with a distributive minimal normal subgroup. As an application, we characterise the k-affine complete finite Frobenius groups for every k ∈ N.

KW - Affine complete groups

KW - Compatible function

KW - Congruence preserving function

KW - Distributive minimal normal subgroup

KW - Frobenius groups

UR - https://www.scopus.com/pages/publications/51849105159

U2 - 10.1007/BF02941279

DO - 10.1007/BF02941279

M3 - Article

SN - 0025-5858

VL - 73

SP - 229

EP - 239

JO - Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg

JF - Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg

IS - 1

ER -

The finite 1-affine complete Frobenius groups

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this