Free Steiner triple systems and their automorphism groups

Autor(es)

Grishkov, Alexander ^[1] ; Rasskazova, Diana ^[2] ; Rasskazova, Marina ^[3] ; Stuhl, Izabella ^{[4, 1]}

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 14, n. 2 MAR 2015.
• Citações Web of Science: 1

Resumo

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)

• Processo FAPESP: 11/51845-5 - Loopos analíticos, finitos e quasi-grupos
• Beneficiário: Izabella Stuhl
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado