Finite groups with at most six vanishing conjugacy classes

被引：0

作者：

Robati, Sajjad M. ^{[1
]}

Darafsheh, M. R. ^{[2
]}

机构：

[1] Imam Khomeini Int Univ, Fac Sci, Dept Pure Math, Qazvin, Iran

[2] Univ Tehran, Coll Sci, Sch Math Stat & Comp Sci, Tehran, Iran

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2022年 / 21卷 / 04期

关键词：

Finite groups; vanishing elements; conjugacy classes; DIRECT PRODUCTS; UNION; AUTOMORPHISMS; SUBGROUPS; NUMBER; GRAPHS;

D O I：

10.1142/S0219498822500761

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finite group. We say that a conjugacy class of g in C is vanishing if there exists some irreducible character chi of G such that chi(g) = 0. In this paper, we show that finite groups with at most six vanishing conjugacy classes are solvable or almost simple groups.

引用

页数：12

共 50 条

[41] Powers of conjugacy classes in a finite group
Beltran, Antonio
Camina, Rachel Deborah
Jose Felipe, Maria
Melchor, Carmen
ANNALI DI MATEMATICA PURA ED APPLICATA, 2020, 199 (02) : 409 - 424
[42] On the conjugacy separability of some free constructions of groups by root classes of finite groups
Sokolov, E. V.
MATHEMATICAL NOTES, 2015, 97 (5-6) : 779 - 790
[43] Conjugacy classes and commuting probability in finite metacyclic p-groups
Moradipour, K.
Sarmin, N. H.
Erfanian, A.
SCIENCEASIA, 2012, 38 (01): : 113 - 117
[44] The number of conjugacy classes of nonnormal subgroups of finite p-groups
Li, Lili
Qu, Haipeng
JOURNAL OF ALGEBRA, 2016, 466 : 44 - 62
[45] ON NILPOTENT GROUPS AND CONJUGACY CLASSES
Adan-Bante, Edith
HOUSTON JOURNAL OF MATHEMATICS, 2010, 36 (02): : 345 - 356
[46] Conjugacy classes in Mobius groups
Gongopadhyay, Krishnendu
GEOMETRIAE DEDICATA, 2011, 151 (01) : 245 - 258
[47] On finite groups in which the twisted conjugacy classes of the unit element are subgroups
Nicotera, Chiara
ARCHIV DER MATHEMATIK, 2024, 123 (02) : 163 - 172
[48] On the product of vanishing classes in a finite group
Ahanjideh, Neda
QUAESTIONES MATHEMATICAE, 2024, 47 (03) : 637 - 645
[49] Calculating conjugacy classes in Sylow p-subgroups of finite Chevalley groups
Goodwin, Simon M.
Roehrle, Gerhard
JOURNAL OF ALGEBRA, 2009, 321 (11) : 3321 - 3334
[50] The number of conjugacy classes of nonnormal subgroups of finite p-groups (II)
Li, Lili
COMMUNICATIONS IN ALGEBRA, 2020, 48 (03) : 1099 - 1113

← 1 2 3 4 5 →