TY - JOUR
T1 - Generalised classes in groups and association schemes
T2 - Duals of results on characters and sharpness
AU - Johnson, Kenneth W.
AU - Poimenidou, Eirini
PY - 1999/1
Y1 - 1999/1
N2 - A result of Strunkov on generalised conjugacy classes of groups is most conveniently expressed in terms of the P-matrix of an association scheme. This result is dual to a result of Blichfeldt on permutation characters, which has been shown by Cameron and Kiyota to hold for arbitrary characters and led to the definition of sharp characters. We show that the result carries over to arbitrary (commutative) association scheme classes, and introduce the idea of a sharp class in an association scheme.
AB - A result of Strunkov on generalised conjugacy classes of groups is most conveniently expressed in terms of the P-matrix of an association scheme. This result is dual to a result of Blichfeldt on permutation characters, which has been shown by Cameron and Kiyota to hold for arbitrary characters and led to the definition of sharp characters. We show that the result carries over to arbitrary (commutative) association scheme classes, and introduce the idea of a sharp class in an association scheme.
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U2 - 10.1006/eujc.1998.0255
DO - 10.1006/eujc.1998.0255
M3 - Article
AN - SCOPUS:0033476538
SN - 0195-6698
VL - 20
SP - 87
EP - 92
JO - European Journal of Combinatorics
JF - European Journal of Combinatorics
IS - 1
ER -