Is a semidirect product of groups necessarily a group?

Author:

Birkenmeier Gary F.,Davis C. Brad,Reeves Kevin J.,Xiao Sihai

Abstract

The aim of this paper is to provide nonassociative commutative loops which are semidirect products of subgroups.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference8 articles.

1. On Jordan algebras of linear transformations;Albert, A. A.;Trans. Amer. Math. Soc.,1946

2. Contributions to the theory of loops;Bruck, R. H.;Trans. Amer. Math. Soc.,1946

3. \bysame, What is a loop? (A. A. Albert, ed.) MAA Stud. Math., vol. 2, Math. Assoc. Amer., Washington, DC, 1963.

4. \bysame, A survey of binary systems, third printing, Springer-Verlag, New York, 1971.

5. Moufang loops of small order. I;Chein, Orin;Trans. Amer. Math. Soc.,1974

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1. Nuclear Properties of Loop Extensions;Results in Mathematics;2019-05-03

2. Loops which are semidirect products of groups;Acta Mathematica Hungarica;2006-11-28

3. Loops and semidirect products;Communications in Algebra;2000-01

4. Loops which are semidirect products of groups;Communications in Algebra;1995-01

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