Free Steiner triple systems and their automorphism groups

Grishkov, Alexander; Rasskazova, Diana; Rasskazova, Marina; Stuhl, Izabella

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Free Steiner triple systems and their automorphism groups

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Author(s):	Grishkov, Alexander ^[1] ; Rasskazova, Diana ^[2] ; Rasskazova, Marina ^[3] ; Stuhl, Izabella ^{[4, 1]} Total Authors: 4
Affiliation:	^[1] Univ Sao Paulo, Inst Math & Stat, BR-05508090 Sao Paulo, SP - Brazil ^[2] Novosibirsk State Univ, Novosibirsk 630090 - Russia ^[3] Omsk Serv Inst, Omsk 644099 - Russia ^[4] Univ Debrecen, H-4010 Debrecen - Hungary Total Affiliations: 4
Document type:	Journal article
Source:	JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 14, n. 2 MAR 2015.
Web of Science Citations:	1
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. (AU)

FAPESP's process:	11/51845-5 - Analytical, finite and quasi-group loops
Grantee:	Izabella Stuhl
Support Opportunities:	Scholarships in Brazil - Post-Doctoral

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