Is a Semidirect Product of Groups Necessarily a Group?

DOI10.2307/2160104zbMath0782.20053OpenAlexW4244539104MaRDI QIDQ4201591

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

Publication date: 1 September 1993

Full work available at URL: https://doi.org/10.2307/2160104

zbMATH Keywords

direct productnon-associative Moufang loopnonassociative commutative loopssemidirect product of subgroups

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Extensions, wreath products, and other compositions of groups (20E22)

Related Items

Loops which are semidirect products of groups. ⋮ Schreier loops ⋮ Nuclear properties of loop extensions

Cites Work

• Moufang Loops of Small Order. I
• Contributions to the Theory of Loops
• On Jordan Algebras of Linear Transformations
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