ON THE LENGTH OF THE CONJUGACY CLASSES OF FINITE-GROUPS

被引：93

作者：

CHILLAG, D

HERZOG, M

机构：

[1] TEL AVIV UNIV,RAYMOND & BEVERLY SACKLER FAC EXACT SCI,SCH MATH SCI,IL-69978 TEL AVIV,ISRAEL

[2] UNIV MAINZ,W-6500 MAINZ,GERMANY

来源：

JOURNAL OF ALGEBRA | 1990年 / 131卷 / 01期

关键词：

D O I：

10.1016/0021-8693(90)90168-N

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group. The question of how certain arithmetical conditions on the degrees of the irreducible characters of G influence the group structure was studied by several authors. Our purpose here is to impose analogous conditions on the lengths of the conjugacy classes of G and to describe the group structure under these conditions. © 1990.

引用

页码：110 / 125

页数：16

共 29 条

[1] ARAD Z, 1987, P S PUR MATH, V47, P3
[2] ARAD Z, 1985, LECTURE NOTES MATH, V1112
[3] GROUP ELEMENTS OF PRIME POWER INDEX
BAER, R
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1953, 75 (JUL) : 20 - 47
[4] Conway J.H., 1985, ATLAS FINITE GROUPS
[5] Gallagher, 1962, NAGOYA MATH J, V21, P223, DOI 10.1017/S0027763000023849
[6] Gorenstein D., 1980, FINITE GROUPS
[7] Haber S., 1959, AM MATH MON, V66, P491
[8] DEGREE-PROBLEMS .1. SQUAREFREE CHARACTER DEGREES
HUPPERT, B
MANZ, O
[J]. ARCHIV DER MATHEMATIK, 1985, 45 (02) : 125 - 132
[9] Huppert B., 1982, FINITE GROUPS
[10] Huppert B., 1967, ENDLICHE GRUPPEN

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