Rigid and super rigid quasigroups
Andriy I. Deriyenko, Ivan I. Deriyenko, Wieslaw A. Dudek
TL;DR
This paper investigates quasigroups with minimal symmetry, specifically those with trivial automorphism and autotopism groups, providing examples and methods for verifying these properties.
Contribution
It introduces new examples of such quasigroups and presents methods to verify their rigidity and super rigidity.
Findings
Examples of rigid quasigroups are provided.
Methods for verifying trivial automorphism and autotopism groups are described.
The paper advances understanding of highly asymmetric quasigroups.
Abstract
The paper deals with quasigroups having a trivial group of automorphisms and a trivial group of autotopisms. Examples of such quasigroups and methods of their verification are given.
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Taxonomy
TopicsMathematics and Applications · graph theory and CDMA systems · Optics and Image Analysis