Free Steiner triple systems and their automorphism groups

Alexander Grishkov; Diana Rasskazova; Marina Rasskazova; Izabella Stuhl

doi:10.1142/S0219498815500255

Free Steiner triple systems and their automorphism groups

Alexander Grishkov, Diana Rasskazova, Marina Rasskazova, Izabella Stuhl

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English (US)
Article number	1550025
Journal	Journal of Algebra and its Applications
Volume	14
Issue number	2
DOIs	https://doi.org/10.1142/S0219498815500255
State	Published - Mar 29 2015

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Applied Mathematics

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10.1142/S0219498815500255

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author = "Alexander Grishkov and Diana Rasskazova and Marina Rasskazova and Izabella Stuhl",

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AU - Rasskazova, Marina

AU - Stuhl, Izabella

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N2 - 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.

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Free Steiner triple systems and their automorphism groups

Abstract

All Science Journal Classification (ASJC) codes

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