On just infinite periodic locally soluble groups

被引：2

作者：

Grigorchuk, R. ^{[1
]}

Shumyatsky, P. ^{[2
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[2] Univ Brasilia, Dept Math, BR-70910 Brasilia, DF, Brazil

来源：

ARCHIV DER MATHEMATIK | 2017年 / 109卷 / 01期

关键词：

Just infinite groups; Locally finite groups; C*-algebras;

D O I：

10.1007/s00013-017-1043-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct an uncountable family of periodic locally soluble groups which are hereditarily just infinite. We also show that the associated full C*-algebra C*(G) is just infinite for many groups G in this family.

引用

页码：19 / 27

页数：9

共 50 条

[1] On just infinite periodic locally soluble groups
R. Grigorchuk
P. Shumyatsky
Archiv der Mathematik, 2017, 109 : 19 - 27
[2] JUST INFINITE MODULES OVER LOCALLY SOLUBLE GROUPS
KARBE, MJ
KURDACENKO, LA
ARCHIV DER MATHEMATIK, 1988, 51 (05) : 401 - 411
[3] A NOTE ON PERIODIC LOCALLY SOLUBLE GROUPS
WEHRFRITZ, BA
ARCHIV DER MATHEMATIK, 1967, 18 (06) : 577 - +
[4] On some locally soluble infinite dimensional linear groups
Dashkova, O. Yu.
ALGEBRA & DISCRETE MATHEMATICS, 2008, (03): : 40 - 49
[5] Infinite locally soluble k-Engel groups
Spiezia, L.S.
Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei, Matematica e Applicazioni, 1993, 3 (09):
[6] Totally disconnected locally compact groups with just infinite locally normal subgroups
Colin D. Reid
Israel Journal of Mathematics, 2024, 259 : 461 - 502
[7] Totally disconnected locally compact groups with just infinite locally normal subgroups
Reid, Colin D.
ISRAEL JOURNAL OF MATHEMATICS, 2024, 259 (01) : 461 - 502
[8] INVOLUTORY AUTOMORPHISMS OF LOCALLY SOLUBLE PERIODIC-GROUPS
SHUMYATSKY, P
JOURNAL OF ALGEBRA, 1993, 155 (01) : 36 - 43
[9] A CRITERION FOR THE CONJUGACY OF SYLOW SUBGROUPS IN PERIODIC LOCALLY SOLUBLE GROUPS
HOLT, DF
JOURNAL OF ALGEBRA, 1980, 65 (02) : 332 - 339
[10] PERIODIC LOCALLY SOLUBLE GROUPS WITH THE MINIMAL-CONDITION ON CENTRALIZERS
BRYANT, RM
HARTLEY, B
JOURNAL OF ALGEBRA, 1979, 61 (02) : 328 - 334

← 1 2 3 4 5 →