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

[31] Isomorphisms of groups of periodic infinite matrices
Bezushchak, Oksana
EUROPEAN JOURNAL OF MATHEMATICS, 2023, 9 (04)
[32] Soluble groups with a condition on infinite subsets
Trabelsi, N
ALGEBRA COLLOQUIUM, 2002, 9 (04) : 427 - 432
[33] ON THE WIELANDT SUBGROUP OF INFINITE SOLUBLE GROUPS
BRANDL, R
FRANCIOSI, S
DEGIOVANNI, F
GLASGOW MATHEMATICAL JOURNAL, 1990, 32 : 121 - 125
[34] Isomorphisms of groups of periodic infinite matrices
Oksana Bezushchak
European Journal of Mathematics, 2023, 9
[35] SOLUBLE AND LOCALLY SOLUBLE SKEW LINEAR-GROUPS
WEHRFRITZ, BAF
ARCHIV DER MATHEMATIK, 1987, 49 (05) : 379 - 388
[36] COMPLETENESS OF AUTOMORPHISM GROUPS OF METABELIAN JUST-INFINITE GROUPS
TRETKOFF, C
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1976, 14 (DEC): : 459 - 462
[37] Locally soluble AFA-groups
O. Yu. Dashkova
Ukrainian Mathematical Journal, 2013, 65 : 501 - 512
[38] ON CERTAIN CLASSES OF LOCALLY SOLUBLE GROUPS
ROSEBLAD.JE
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1962, 58 (APR): : 185 - &
[39] On strongly just infinite profinite branch groups
Le Maitre, Francois
Wesolek, Phillip
JOURNAL OF GROUP THEORY, 2017, 20 (01) : 1 - 32
[40] ISOMORPHISM PROBLEM FOR JUST-INFINITE GROUPS
BRIGHAM, RC
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1971, 24 (06) : 789 - &

← 1 2 3 4 5 →