A SURVEY ON GROUPS WITH SOME RESTRICTIONS ON NORMALIZERS OR CENTRALIZERS

被引：0

作者：

Legarreta, Leire ^{[1
]}

Tota, Maria ^{[2
]}

机构：

[1] Euskal Herriko Unibertsitatea, UPV EHU, Matemat Saila, POB 48080, Bilbao, Spain

[2] Univ Salerno, Dipartimento Matemat, POB 84084, Fisciano, SA, Italy

来源：

INTERNATIONAL JOURNAL OF GROUP THEORY | 2020年 / 9卷 / 02期

关键词：

Centralizers; normalizers; finite p-groups; locally finite groups; locally nilpotent groups; FINITENESS; SUBGROUPS;

D O I：

10.22108/ijgt.2019.115244.1529

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider conditions on normalizers or centralizers in a group and we collect results showing how such conditions influence the structure of the group.

引用

页码：113 / 124

页数：12

共 30 条

[1]

[Anonymous], 1958, The Theory of Groups

[2]

[Anonymous], 1965, Amer. Math. Soc., Translat., DOI DOI 10.1090/TRANS2/048

[3]

Baer R., 1933, SB HEIDELBERG AKAD M, V2, P12

[4]

Berkovich Y., 2008, GROUPS PRIME POWER O

[5]

Berkovich Y., SCI CHINA A

[6] Groups with Restrictions on Infinite Conjugacy Classes [J].

De Falco, M. ;

de Giovanni, F. ;

Musella, C. ;

Trabelsi, N. .

MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (02)

[7] A note on groups with restrictions on centralizers of infinite index [J].

De Falco, Maria .

NOTE DI MATEMATICA, 2016, 36 :1-13

[8]

Dedekind Richard., 1897, Mathematische Annalen, V48, P548, DOI [10.1007/BF01447922, DOI 10.1007/BF01447922]

[9] Some finiteness conditions on normalizers or centralizers in groups [J].

Fernandez-Alcober, Gustavo A. ;

Legarreta, Leire ;

Tortora, Antonio ;

Tota, Maria .

COMMUNICATIONS IN ALGEBRA, 2018, 46 (05) :2003-2009

[10] A finiteness condition on centralizers in locally finite groups [J].

Fernandez-Alcober, Gustavo A. ;

Legarreta, Leire ;

Tortora, Antonio ;

Tota, Maria .

MONATSHEFTE FUR MATHEMATIK, 2017, 183 (02) :241-250

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