Certain pairs of irreducible characters of the groups S n

被引：0

作者：

Belonogov V.A. ^{[1
]}

机构：

[1] Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Ekaterinburg 620219

来源：

Proceedings of the Steklov Institute of Mathematics | 2007年 / 259卷 / Suppl 2期

基金：

俄罗斯基础研究基金会; 中国国家自然科学基金;

关键词：

STEKLOV Institute; Representation Theory; Symmetric Group; Maximal Element; Young Diagram;

D O I：

10.1134/S0081543807060028

中图分类号：

学科分类号：

摘要：

The investigation of the pairs of irreducible characters of the symmetric group S n that have the same set of roots in one of the sets A n and S n \ A n is continued. All such pairs of irreducible characters of the group S n are found in the case when the least of the main diagonal's lengths of the Young diagrams corresponding to these characters does not exceed 2. Some arguments are obtained for the conjecture that alternating groups A n have no pairs of semiproportional irreducible characters. © 2007 Pleiades Publishing, Ltd.

引用

页码：S12 / S34

页数：22

共 50 条

[21] IRREDUCIBLE PRODUCTS OF CHARACTERS IN A(N)
ZISSER, I
ISRAEL JOURNAL OF MATHEMATICS, 1993, 84 (1-2) : 147 - 151
[22] CHARACTERS OF FINITE-GROUPS WITH SPLIT (B,N)-PAIRS
NOZAWA, S
PROCEEDINGS OF THE JAPAN ACADEMY, 1974, 50 (10): : 829 - 834
[23] On irreducible characters of the group S n that are semiproportional on A n or S n a-A n . II
Belonogov, V. A.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2009, 264 : 60 - 71
[24] ON THE SCHUR-INDEXES OF CERTAIN IRREDUCIBLE CHARACTERS OF REDUCTIVE GROUPS OVER FINITE-FIELDS
OHMORI, Z
OSAKA JOURNAL OF MATHEMATICS, 1988, 25 (01) : 149 - 159
[25] On irreducible characters of the group S-n that are semiproportional on An or S-n\A(n). IV
Belonogov, V. A.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2009, 15 (02): : 12 - 33
[26] Action of automorphisms on irreducible characters of symplectic groups
Taylor, Jay
JOURNAL OF ALGEBRA, 2018, 505 : 211 - 246
[27] ON THE DEGREE OF IRREDUCIBLE CHARACTERS OF FINITE-GROUPS
BRANDIS, A
JOURNAL OF ALGEBRA, 1985, 97 (01) : 23 - 29
[28] Irreducible characters with equal roots in the groups Sn and An
V. A. Belonogov
Algebra and Logic, 2007, 46 : 1 - 15
[29] IRREDUCIBLE INDUCED CHARACTERS OF SOLVABLE-GROUPS
SLATTERY, MC
ARCHIV DER MATHEMATIK, 1984, 43 (03) : 210 - 217
[30] Vertices of -Irreducible Characters of Groups of Odd Order
Cossey, James P.
COMMUNICATIONS IN ALGEBRA, 2008, 36 (11) : 3972 - 3979

← 1 2 3 4 5 →