Finite groups with abnormal and -subnormal subgroups

被引：0

作者：

Monakhov, V. S. ^{[1
]}

机构：

[1] Francisk Skorina Gomel State Univ, Gomel, BELARUS

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2016年 / 57卷 / 02期

关键词：

finite group; nilpotent group; subnormal group; abnormal subgroup;

D O I：

10.1134/S0037446616020178

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study finite groups in which each primary subgroup is self-normalizing or -subnormal in the class U of all supersoluble groups. In particular, these groups have a Sylow tower.

引用

页码：352 / 363

页数：12

共 21 条

[1] Carter subgroups of finite groups
Vdovin E.P.
[J]. Siberian Advances in Mathematics, 2009, 19 (1) : 24 - 74
[2] THE THEORY OF FORMATIONS CLOSED IN REGARD TO SUBGROUPS - FINITE VARIETIES
BRANDL, R
[J]. JOURNAL OF ALGEBRA, 1981, 73 (01) : 1 - 22
[3] Brandl R., 1981, J AUSTR MATH SOC, V34, P265
[4] MINIMAL NICHT UBERAUFLOSBARE ENDLICHE GRUPPEN
DOERK, K
[J]. MATHEMATISCHE ZEITSCHRIFT, 1966, 91 (03) : 198 - &
[5] Doerk K., 1992, De Gruyter Exp. Math., V4, pxiv + 891
[6] NOTE ON SUBNORMAL AND ABNORMAL CHAINS
EBERT, G
BAUMAN, S
[J]. JOURNAL OF ALGEBRA, 1975, 36 (02) : 287 - 293
[7] GROUPS WITH ONLY NORMAL AND ABNORMAL SUBGROUPS
FATTAHI, A
[J]. JOURNAL OF ALGEBRA, 1974, 28 (01) : 15 - 19
[8] A nonabnormal subgroup contained only in self-normalizing subgroups in a finite group
Feldman, A
[J]. ARCHIV DER MATHEMATIK, 1998, 70 (01) : 9 - 10
[9] FINITE-GROUPS ALL OF WHOSE SUBGROUPS ARE F-SUBNORMAL OR F-SUBABNORMAL
FORSTER, P
[J]. JOURNAL OF ALGEBRA, 1986, 103 (01) : 285 - 293
[10] Huppert B., 1967, Grund. Math. Wiss., V134

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