Collineation groups of the smallest Bol 3-nets

Authors

  • Gábor Nagy

DOI:

https://doi.org/10.1285/i15900932v14n1p115

Abstract

Some associativity properties of a loop can be interpreted as certain closure configuration of the corresponding 3-net. If was known that the smallest non-associative loops with the so called left Bol property have order 8.In this paper we determine the direction preserving collineation groups of the 3-nets belonging to these smallest Bol loops. For that, we prove some new results concerning collineations of 3- nets and autotopisms of loops.

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Published

01-01-1994

Issue

Volume 14, Issue 1 (1994)

Section

Articoli

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