Nonsolvable Groups Whose Degrees of All Proper Subgroups Are the Direct Products of at Most Two Prime Numbers

被引：2

作者：

Liu, Shitian ^{[1
]}

Tang, Xingzheng ^{[1
]}

机构：

[1] Sichuan Univ Arts & Sci, Sch Math, Dazhou 635000, Sichuan, Peoples R China

来源：

JOURNAL OF MATHEMATICS | 2022年 / 2022卷

关键词：

BRAUER CHARACTERS; MAXIMAL-SUBGROUPS; SOLVABLE-GROUPS; FINITE;

D O I：

10.1155/2022/1455299

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Huppert and Manz have determined the nonsolvable groups whose character degrees are products of at most two prime numbers. In this paper, we change the condition from "degrees of a group are products of at most two prime divisors" to "degrees of all proper groups of a group are products of at most two prime divisors" and determine the structure of finite groups with such condition.

引用

页数：8

共 50 条

[1] FINITE GROUPS WHOSE NUMBERS OF REAL-VALUED CHARACTER DEGREES OF ALL PROPER SUBGROUPS ARE AT MOST TWO
Liu, Shitian
COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2023, 76 (07): : 990 - 998
[2] On Groups Whose Irreducible Character Degrees of All Proper Subgroups are All Prime Powers
Liu, Shitian
JOURNAL OF MATHEMATICS, 2021, 2021
[3] Finite groups whose character degrees are products of at most three prime numbers
Liu, ShiTian
Zhang, RunShi
Italian Journal of Pure and Applied Mathematics, 2022, 48 : 741 - 750
[4] Finite groups whose character degrees are products of at most three prime numbers
Liu, ShiTian
Zhang, RunShi
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, (48): : 741 - 750
[5] Finite groups whose character degrees are products of at most three prime numbers
Liu, ShiTian
Zhang, RunShi
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, (48): : 741 - 750
[6] Nonsolvable Finite Groups Whose All Nonsolvable Superlocals Are Hall Subgroups
V. A. Vedernikov
Siberian Mathematical Journal, 2020, 61 : 778 - 794
[7] Nonsolvable Finite Groups Whose All Nonsolvable Superlocals Are Hall Subgroups
Vedernikov, V. A.
SIBERIAN MATHEMATICAL JOURNAL, 2020, 61 (05) : 778 - 794
[8] NONSOLVABLE FINITE GROUPS ALL OF WHOSE LOCAL SUBGROUPS ARE SOLVABLE
THOMPSON, JG
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1968, 74 (03) : 383 - &
[9] NON-SOLVABLE GROUPS, WHOSE CHARACTER-DEGREES ARE PRODUCTS OF AT MOST 2 PRIME-NUMBERS
HUPPERT, B
MANZ, O
OSAKA JOURNAL OF MATHEMATICS, 1986, 23 (02) : 491 - 502
[10] ON GROUPS ALL OF WHOSE PROPER SUBGROUPS ARE FINITE CYCLIC
ADYAN, SI
LYSENOK, IG
MATHEMATICS OF THE USSR-IZVESTIYA, 1992, 39 (02): : 905 - 957

← 1 2 3 4 5 →