Characters of Finite Quasigroups VI: Critical Examples and Doubletons

K. W. Johnson; J. D.H. Smith; S. Y. Song

doi:10.1016/S0195-6698(13)80126-6

Characters of Finite Quasigroups VI: Critical Examples and Doubletons

K. W. Johnson, J. D.H. Smith, S. Y. Song

Division of Engineering and Science (Abington)

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

11 Scopus citations

Abstract

Examples of association schemes coming from symmetric group actions on doubletons are shown to have character tables which are not character tables of quasigroups. The examples are critical in separating the character theory of quasigroups from the general theory of association schemes.

Original language	English (US)
Pages (from-to)	267-275
Number of pages	9
Journal	European Journal of Combinatorics
Volume	11
Issue number	3
DOIs	https://doi.org/10.1016/S0195-6698(13)80126-6
State	Published - 1990

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics

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10.1016/S0195-6698(13)80126-6

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title = "Characters of Finite Quasigroups VI: Critical Examples and Doubletons",

abstract = "Examples of association schemes coming from symmetric group actions on doubletons are shown to have character tables which are not character tables of quasigroups. The examples are critical in separating the character theory of quasigroups from the general theory of association schemes.",

author = "Johnson, {K. W.} and Smith, {J. D.H.} and Song, {S. Y.}",

year = "1990",

doi = "10.1016/S0195-6698(13)80126-6",

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AU - Johnson, K. W.

AU - Smith, J. D.H.

AU - Song, S. Y.

PY - 1990

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N2 - Examples of association schemes coming from symmetric group actions on doubletons are shown to have character tables which are not character tables of quasigroups. The examples are critical in separating the character theory of quasigroups from the general theory of association schemes.

AB - Examples of association schemes coming from symmetric group actions on doubletons are shown to have character tables which are not character tables of quasigroups. The examples are critical in separating the character theory of quasigroups from the general theory of association schemes.

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U2 - 10.1016/S0195-6698(13)80126-6

DO - 10.1016/S0195-6698(13)80126-6

M3 - Article

AN - SCOPUS:0040527079

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VL - 11

SP - 267

EP - 275

JO - European Journal of Combinatorics

JF - European Journal of Combinatorics

IS - 3

ER -

Characters of Finite Quasigroups VI: Critical Examples and Doubletons

Abstract

All Science Journal Classification (ASJC) codes

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