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Main Authors: Burstin, C., Mayer, W.
Format: Preprint
Published: 2014
Subjects:
Online Access:https://arxiv.org/abs/1403.6326
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author Burstin, C.
Mayer, W.
author_facet Burstin, C.
Mayer, W.
contents This is a translation. I have added translations for (possibly) outdated definitions in an appendix at the end. In this paper, we define distributive groups and show some properties of them. We then concern ourselves with the homogeinity of distributive groups, before showing how they can be generated from both associative and distributive groups. After that, we look at subgroups and define an index theorem for distributive groups before describing the structure of distributive groups. Finally, we present two addenda with several theorems that we proved while trying to prove that $\left|(A.p).(A.q)\right|=\left|A\right|$.
format Preprint
id arxiv_https___arxiv_org_abs_1403_6326
institution arXiv
publishDate 2014
record_format arxiv
spellingShingle Distributive Gruppen endlicher Ordnung [Finite Distributive Groups]
Burstin, C.
Mayer, W.
Group Theory
History and Overview
This is a translation. I have added translations for (possibly) outdated definitions in an appendix at the end. In this paper, we define distributive groups and show some properties of them. We then concern ourselves with the homogeinity of distributive groups, before showing how they can be generated from both associative and distributive groups. After that, we look at subgroups and define an index theorem for distributive groups before describing the structure of distributive groups. Finally, we present two addenda with several theorems that we proved while trying to prove that $\left|(A.p).(A.q)\right|=\left|A\right|$.
title Distributive Gruppen endlicher Ordnung [Finite Distributive Groups]
topic Group Theory
History and Overview
url https://arxiv.org/abs/1403.6326