ALL AUTOMORPHIC LOOPS OF ORDER p2 FOR SOME PRIME p ARE ASSOCIATIVE

被引：4
|
作者：
Csoergo, Piroska [1 ]
机构：
[1] Eotvos Lorand Univ, Dept Algebra & Number Theory, H-1117 Budapest, Hungary
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2013年 / 12卷 / 06期
关键词：
A-loop; multiplication group; inner mapping group; connected transversals;
D O I：
10.1142/S0219498813500138
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An automorphic loop (or A-loop) is a loop whose inner mappings are automorphisms. An open problem in [P. Jedlicka, M. K. Kinyon and P. Vojtechovsky, Nilpotency in automorphic loops of prime power order, J. Algebra 350 (2012) 64-76] was: Are all A-loops of order p(2) for some prime p associative? In this paper we give a positive answer to this problem.
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页数：8
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