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2015 All finite automorphic loops have the elementwise Lagrange property
Piroska Csörgő
Rocky Mountain J. Math. 45(4): 1101-1105 (2015). DOI: 10.1216/RMJ-2015-45-4-1101

Abstract

An automorphic loop (or A-loop) is a loop whose inner mappings are automorphisms. An open problem was: Does every finite automorphic loop have the elementwise Lagrange property? We give a positive answer to this problem.

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Piroska Csörgő. "All finite automorphic loops have the elementwise Lagrange property." Rocky Mountain J. Math. 45 (4) 1101 - 1105, 2015. https://doi.org/10.1216/RMJ-2015-45-4-1101

Information

Published: 2015
First available in Project Euclid: 2 November 2015

zbMATH: 1334.20060
MathSciNet: MR3418184
Digital Object Identifier: 10.1216/RMJ-2015-45-4-1101

Subjects:
Primary: 08A05, 20N05

Rights: Copyright © 2015 Rocky Mountain Mathematics Consortium

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Vol.45 • No. 4 • 2015
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