Translation groups of Steiner loops

Karl Strambach; Izabella Stuhl

doi:10.1016/j.disc.2008.12.019

Translation groups of Steiner loops

Karl Strambach, Izabella Stuhl

Mathematics

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

11 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 language	English (US)
Pages (from-to)	4225-4227
Number of pages	3
Journal	Discrete Mathematics
Volume	309
Issue number	13
DOIs	https://doi.org/10.1016/j.disc.2008.12.019
State	Published - Jul 6 2009

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/j.disc.2008.12.019

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title = "Translation groups of Steiner loops",

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.",

author = "Karl Strambach and Izabella Stuhl",

year = "2009",

month = jul,

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doi = "10.1016/j.disc.2008.12.019",

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journal = "Discrete Mathematics",

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T1 - Translation groups of Steiner loops

AU - Strambach, Karl

AU - Stuhl, Izabella

PY - 2009/7/6

Y1 - 2009/7/6

N2 - 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.

AB - 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.

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EP - 4227

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 13

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Translation groups of Steiner loops

Abstract

All Science Journal Classification (ASJC) codes

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