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.

引用

页数：8

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