Code loops: automorphisms and representations

2014/12/06 by Alexandre N. Grichkov, Alexandre Grichkov, Grichkov, Alexandre +3
Engineering · Mathematics · #FOS: Mathematics #Group Theory (math.GR) #Vibration and Dynamic Analysis #math.GR

paper · pdf · doi:10.48550/arxiv.1412.2185

arxiv created 2014/12/06 · openalex publication_date 2014/12/06 · arxiv updated 2014/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work we construct free Moufang loop in the variety generated by code loops. We apply this construction for study the code loops. Moreover, we define and determine all basic representations of code loops of rank 3 and 4.

Related

• Representations of code loops by binary codes
• Direct construction of code loops
• Simple Moufang loops and Galois extensions
• Linear representations of formal loops
• About the embedding of Moufang loops in alternative algebras