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

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 - Jan 1 1989

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics

Access to Document

10.1016/S0195-6698(89)80019-8

Fingerprint Dive into the research topics of 'Characters of Finite Quasigroups V: Linear Characters'. Together they form a unique fingerprint.

Cite this

@article{733ab672d8aa4b07bac5267140eaf070,

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.",

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

year = "1989",

month = jan,

day = "1",

doi = "10.1016/S0195-6698(89)80019-8",

language = "English (US)",

volume = "10",

pages = "449--456",

journal = "European Journal of Combinatorics",

issn = "0195-6698",

publisher = "Academic Press Inc.",

number = "5",

}

TY - JOUR

T1 - Characters of Finite Quasigroups V

T2 - Linear Characters

AU - Johnson, K. W.

AU - Smith, J. D.H.

PY - 1989/1/1

Y1 - 1989/1/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=84974122725&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84974122725&partnerID=8YFLogxK

U2 - 10.1016/S0195-6698(89)80019-8

DO - 10.1016/S0195-6698(89)80019-8

M3 - Article

AN - SCOPUS:84974122725

VL - 10

SP - 449

EP - 456

JO - European Journal of Combinatorics

JF - European Journal of Combinatorics

SN - 0195-6698

IS - 5

ER -