Translation groups of Steiner loops

Karl Strambach, Izabella Stuhl

Research output: Contribution to journalArticle

10 Scopus citations

Abstract

If the order of any product of two different translations of a finite Steiner quasigroup of size n > 3 is odd, then the group G generated by the translations of the corresponding Steiner loop of order n + 1 contains the alternating group of degree n + 1.

Original languageEnglish (US)
Pages (from-to)4225-4227
Number of pages3
JournalDiscrete Mathematics
Volume309
Issue number13
DOIs
StatePublished - Jul 6 2009

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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