On groups with a strongly imbedded subgroup having an almost layer-finite periodic part

被引：5

作者：

Senashov, V. I. ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Computat Modeling, Siberian Branch, Krasnoyarsk, Russia

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2012年 / 64卷 / 03期

关键词：

Minimality Condition; Prime Order; Abelian Subgroup; Proper Subgroup; Frobenius Group;

D O I：

10.1007/s11253-012-0656-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study Shunkov groups with the following condition: the normalizer of any finite nontrivial subgroup has an almost layer-finite periodic part. It is proved that such a group has an almost layer-finite periodic part if it has a strongly imbedded subgroup with almost layer-finite periodic part.

引用

页码：433 / 440

页数：8

共 48 条

[1] On groups with a strongly imbedded subgroup having an almost layer-finite periodic part
V. I. Senashov
Ukrainian Mathematical Journal, 2012, 64 : 433 - 440
[2] On Shunkov groups with a strongly embedded almost layer-finite subgroup
Senashov, V. I.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2010, 16 (03): : 234 - 239
[3] Groups with layer-finite periodic part
V. I. Senashov
Siberian Mathematical Journal, 1997, 38 : 1196 - 1205
[4] Groups with layer-finite periodic part
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SIBERIAN MATHEMATICAL JOURNAL, 1997, 38 (06) : 1196 - 1205
[5] Characterizations of the Groups with Almost Layer-Finite Periodic Parts
V. I. Senashov
Ukrainian Mathematical Journal, 2017, 69 : 1123 - 1131
[6] Characterizations of the Groups with Almost Layer-Finite Periodic Parts
Senashov, V. I.
UKRAINIAN MATHEMATICAL JOURNAL, 2017, 69 (07) : 1123 - 1131
[7] Characterization of groups with a layer-finite periodic part
Senashov V.I.
Ukrainian Mathematical Journal, 2001, 53 (3) : 438 - 445
[8] On Periodic Shunkov's Groups with Almost Layer-finite Normalizers of Finite Subgroups
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BULLETIN OF IRKUTSK STATE UNIVERSITY-SERIES MATHEMATICS, 2021, 37 : 118 - 132
[9] Almost layer-finite groups without involutions
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Advances in Modelling and Analysis A, 2005, 42 (3-4): : 33 - 43
[10] SOME GENERALIZATIONS OF LAYER-FINITE GROUPS
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DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1974, (03): : 213 - 216

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