Zassenhaus Lemma,Schreier Refinement Theorem,and Jordan–Hölder Theorem for Gyrogroups  

作　　者：Prathomjit Khachorncharoenkul Rasimate Maungchang Teerapong Suksumran L.A.Bokut 

机构地区：[1]School of Science,Walailak University,Nakhon Si Thammarat 80160,Thailand [2]Department of Mathematics,Faculty of Science,Chiang Mai University Chiang Mai 50200,Thailand [3]不详

出　　处：《Algebra Colloquium》2024年第2期323-332,共10页代数集刊（英文版）

摘　　要：In this article,we extend the Zassenhaus lemma(also called the butterfly lemma)and the Schreier refinement theorem to the case of gyrogroups.In addition,we use these results to prove the Jordan–Hölder theorem for gyrogroups as well as some theorems regarding subgyrogroup lattices.

关 键 词：Zassenhaus lemma Schreier refinement theoremg yrogroup subgyrogroup diagram normal subgyrogroup 

分 类 号：O17[理学—数学]