Primitivity of permutation groups, coherent algebras and matrices

被引：3

作者：

Jones, GA ^{[1
]}

Klin, M

Moshe, Y

机构：

[1] Univ Southampton, Fac Math Studies, Southampton SO17 1BJ, Hants, England

[2] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 2002年 / 98卷 / 01期

关键词：

D O I：

10.1006/jcta.2001.3245

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A coherent algebra is F-primitive if each of its non-identity basis matrices is primitive in the sense of Frobenius. We investigate the relationship between the primitivity of a permutation group. the primitivity of its centralizer algebra, and F-primitivity. The results obtained are applied to give new proofs of primitivity criteria for the exponentiations of permutation groups and of coherent algebras. (C) 2002 Elsevier Science (USA).

引用

页码：210 / 217

页数：8

共 50 条

[21] Primitivity of finitely presented monomial algebras
Bell, Jason P.
Colak, Pinar
JOURNAL OF PURE AND APPLIED ALGEBRA, 2009, 213 (07) : 1299 - 1305
[22] PRIMITIVITY OF PRODUCTS OF LESLIE-MATRICES
TAYLOR, GC
BULLETIN OF MATHEMATICAL BIOLOGY, 1985, 47 (01) : 23 - 34
[23] AUTOMORPHISM-GROUPS OF ALGEBRAS OF TRIANGULAR MATRICES
BARKER, GP
LINEAR ALGEBRA AND ITS APPLICATIONS, 1989, 121 : 207 - 215
[24] Representability of lie algebras and lie groups by matrices
Birkhoff, G
ANNALS OF MATHEMATICS, 1937, 38 : 526 - 532
[25] Testing matrix groups for primitivity
Holt, DF
LeedhamGreen, CR
OBrien, EA
Rees, S
JOURNAL OF ALGEBRA, 1996, 184 (03) : 795 - 817
[26] PRIMITIVITY IN REPRESENTATIONS OF POLYCYCLIC GROUPS
HARPER, DL
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1980, 88 (JUL) : 15 - 31
[27] Endomorphism algebras of transitive permutation modules for p-groups
Towers, Matthew
ARCHIV DER MATHEMATIK, 2009, 92 (03) : 215 - 227
[28] Endomorphism algebras of transitive permutation modules for p-groups
Matthew Towers
Archiv der Mathematik, 2009, 92 : 215 - 227
[29] KREIN CONDITION, SPHERICAL DESIGNS, NORTON ALGEBRAS AND PERMUTATION GROUPS
CAMERON, PJ
GOETHALS, JM
SEIDEL, JJ
PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1978, 81 (02): : 196 - 206
[30] Algebraic combinatorics in mathematical chemistry.: Methods and algorithms.: I.: Permutation groups and coherent (cellular) algebras.
Klin, M
Rücker, C
Rücker, G
Tinhofer, G
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 1999, (40) : 7 - 138

← 1 2 3 4 5 →