Quasigroup automorphisms and the Norton-Stein complex
نویسندگان
چکیده
منابع مشابه
Quasigroup Automorphisms and the Norton-stein Complex
Suppose that d > 1 is the largest power of two that divides the order of a finite quasigroup Q. It then follows that each automorphism of Q must contain a cycle of length not divisible by d in its disjoint cycle decomposition. The proof is obtained by considering the action induced by the automorphism on a certain orientable surface originally described in a more restricted context by Norton an...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2010
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-10-10473-0