Nilpotent Steiner loops of class 2
A. Grishkov, D. Rasskazova, M. Rasskazova, I. Stuhl
TL;DR
This paper classifies finite 3-generated Steiner loops of nilpotency class 2, providing a detailed description of their structure and properties within this specific algebraic category.
Contribution
It introduces a classification framework for finite 3-generated nilpotent Steiner loops of class 2, expanding understanding of their algebraic structure.
Findings
Classification of finite 3-generated nilpotent Steiner loops of class 2
Description of the structure of Steiner loops of nilpotency class 2
Establishment of properties specific to these loops
Abstract
We describe Steiner loops of nilpotency class 2 and establish the classification of finite 3-generated nilpotent Steiner loops of nilpotency class 2.
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Taxonomy
Topicsgraph theory and CDMA systems · Mathematics and Applications