Free Steiner triple systems and their automorphism groups-Reference-Cited by-同舟云学术

Free Steiner triple systems and their automorphism groups

Published:2014-10-19 Issue:02 Volume:14 Page:1550025
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Grishkov Alexander¹,Rasskazova Diana²,Rasskazova Marina³,Stuhl Izabella¹⁴

Affiliation:

1. Institute of Mathematics and Statistics, University of São Paulo, 05508-090 São Paulo, SP, Brazil

2. Novosibirsk State University, 630090 Novosibirsk, Russia

3. Omsk Service Institute, 644099 Omsk, Russia

4. University of Debrecen, H-4010 Debrecen, Hungary

Abstract

The paper is devoted to the study of free objects in the variety of Steiner loops and of the combinatorial structures behind them, focusing on their automorphism groups. We prove that all automorphisms are tame and the automorphism group is not finitely generated if the loop is more than 3-generated. For the free Steiner loop with three generators we describe the generator elements of the automorphism group and some relations between them.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498815500255

Reference13 articles.

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4. A remark on commutative di-associative loops

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