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 | |
| State | Published - Jan 1 1989 |
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All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics
Cite this
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Characters of Finite Quasigroups V : Linear Characters. / Johnson, Kenneth; Smith, J. D.H.
In: European Journal of Combinatorics, Vol. 10, No. 5, 01.01.1989, p. 449-456.Research output: Contribution to journal › Article
TY - JOUR
T1 - Characters of Finite Quasigroups V
T2 - Linear Characters
AU - Johnson, Kenneth
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.
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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
VL - 10
SP - 449
EP - 456
JO - European Journal of Combinatorics
JF - European Journal of Combinatorics
SN - 0195-6698
IS - 5
ER -