Characters of Finite Quasigroups V: Linear Characters

K. W. Johnson; J. D.H. Smith

doi:10.1016/S0195-6698(89)80019-8

Characters of Finite Quasigroups V: Linear Characters

K. W. Johnson, J. D.H. Smith

Division of Engineering and Science (Abington)

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

13 Scopus citations

Abstract

The linear basic characters of a finite, non-empty quasigroup are all shown to come from the derived quotient. Under multiplication, they form an abelian group which acts on the non-linear basic characters. Aspects of the structure of quasigroups with a unique non-linear basic character are investigated.

Original language	English (US)
Pages (from-to)	449-456
Number of pages	8
Journal	European Journal of Combinatorics
Volume	10
Issue number	5
DOIs	https://doi.org/10.1016/S0195-6698(89)80019-8
State	Published - 1989

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics

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10.1016/S0195-6698(89)80019-8

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title = "Characters of Finite Quasigroups V: Linear Characters",

abstract = "The linear basic characters of a finite, non-empty quasigroup are all shown to come from the derived quotient. Under multiplication, they form an abelian group which acts on the non-linear basic characters. Aspects of the structure of quasigroups with a unique non-linear basic character are investigated.",

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AB - The linear basic characters of a finite, non-empty quasigroup are all shown to come from the derived quotient. Under multiplication, they form an abelian group which acts on the non-linear basic characters. Aspects of the structure of quasigroups with a unique non-linear basic character are investigated.

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AN - SCOPUS:84974122725

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JO - European Journal of Combinatorics

JF - European Journal of Combinatorics

SN - 0195-6698

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ER -

Characters of Finite Quasigroups V: Linear Characters

Abstract

All Science Journal Classification (ASJC) codes

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