Matched pairs, permutation representations, and the bol property

Kenneth Johnson, J. D.H. Smith

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The article examines Bol loops that are constructed from matched pairs of groups, including a new simple, non-Moufang Bol loop of order 120. Certain permutation representations of the loops under consideration provide nontrivial examples of doubly stochastic action matrices. A generalization of the matched-pair loop construction yields proper Bol actions of groups.

Original languageEnglish (US)
Pages (from-to)2903-2914
Number of pages12
JournalCommunications in Algebra
Volume38
Issue number8
DOIs
StatePublished - Aug 30 2010

Fingerprint

Bol Loop
Permutation Representation
Matched pairs

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

@article{2f2562b877154d3ca58e7dcd527fa9fa,
title = "Matched pairs, permutation representations, and the bol property",
abstract = "The article examines Bol loops that are constructed from matched pairs of groups, including a new simple, non-Moufang Bol loop of order 120. Certain permutation representations of the loops under consideration provide nontrivial examples of doubly stochastic action matrices. A generalization of the matched-pair loop construction yields proper Bol actions of groups.",
author = "Kenneth Johnson and Smith, {J. D.H.}",
year = "2010",
month = "8",
day = "30",
doi = "10.1080/00927870903095590",
language = "English (US)",
volume = "38",
pages = "2903--2914",
journal = "Communications in Algebra",
issn = "0092-7872",
publisher = "Taylor and Francis Ltd.",
number = "8",

}

Matched pairs, permutation representations, and the bol property. / Johnson, Kenneth; Smith, J. D.H.

In: Communications in Algebra, Vol. 38, No. 8, 30.08.2010, p. 2903-2914.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Matched pairs, permutation representations, and the bol property

AU - Johnson, Kenneth

AU - Smith, J. D.H.

PY - 2010/8/30

Y1 - 2010/8/30

N2 - The article examines Bol loops that are constructed from matched pairs of groups, including a new simple, non-Moufang Bol loop of order 120. Certain permutation representations of the loops under consideration provide nontrivial examples of doubly stochastic action matrices. A generalization of the matched-pair loop construction yields proper Bol actions of groups.

AB - The article examines Bol loops that are constructed from matched pairs of groups, including a new simple, non-Moufang Bol loop of order 120. Certain permutation representations of the loops under consideration provide nontrivial examples of doubly stochastic action matrices. A generalization of the matched-pair loop construction yields proper Bol actions of groups.

UR - http://www.scopus.com/inward/record.url?scp=77955969287&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77955969287&partnerID=8YFLogxK

U2 - 10.1080/00927870903095590

DO - 10.1080/00927870903095590

M3 - Article

VL - 38

SP - 2903

EP - 2914

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

IS - 8

ER -