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Free Steiner triple systems and their automorphism groups

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Publication:5498583
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DOI10.1142/S0219498815500255zbMath1311.20067arXiv1404.5472MaRDI QIDQ5498583

Izabella Stuhl, Diana Rasskazova, Marina Rasskazova, Alexander N. Grishkov

Publication date: 9 February 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.5472


zbMATH Keywords

automorphism groupsSteiner triple systemsmultiplication groupstame automorphismsfree Steiner loopsfree diassociative loops


Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Loops, quasigroups (20N05) Triple systems (05B07) Infinite automorphism groups (20B27)


Related Items

Free Bol loops of exponent two ⋮ Nilpotent Steiner loops of class 2 ⋮ A retrospect of the research in nonassociative algebras in IME-USP



Cites Work

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  • Translation groups of Steiner loops.
  • A remark on commutative di-associative loops
  • On the groups of automorphisms of Steiner triple and quadruple systems
  • Oriented Steiner loops.
  • Defining relations for automorphism groups of free algebras
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