On the probability of generating free prosoluble groups of small rank

被引：5

作者：

Morigi, Marta ^{[1
]}

机构：

[1] Univ Bologna, Dipartmento Matemat, I-40126 Bologna, Italy

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2006年 / 155卷 / 1期

关键词：

D O I：

10.1007/BF02773951

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F be the free prosoluble group of rank d <= 9. We study the minimum integer k such that the probability of generating F with k elements is positive.

引用

页码：117 / 123

页数：7

共 50 条

[11] On the connectivity of the generating and rank graphs of finite groups
Lucchini, Andrea
Nemmi, Daniele
[J]. JOURNAL OF ALGEBRA, 2025, 665 : 131 - 144
[12] The Topological Generating Rank of Solvable Lie Groups
Abels, Herbert
Noskov, Gennady A.
[J]. JOURNAL OF LIE THEORY, 2019, 29 (02) : 457 - 471
[13] GROUPS OF SMALL CANTOR RANK
Poizat, Bruno
[J]. JOURNAL OF SYMBOLIC LOGIC, 2010, 75 (01) : 346 - 354
[14] Prosoluble subgroups of free profinite products
Zalesskii, Pavel
[J]. FORUM OF MATHEMATICS SIGMA, 2024, 12
[15] Bounds for the probability of generating the symmetric and alternating groups
Maroti, Attila
Tamburini, M. Chiara
[J]. ARCHIV DER MATHEMATIK, 2011, 96 (02) : 115 - 121
[16] A note on the probability of generating alternating or symmetric groups
Luke Morgan
Colva M. Roney-Dougal
[J]. Archiv der Mathematik, 2015, 105 : 201 - 204
[17] A note on the probability of generating alternating or symmetric groups
Morgan, Luke
Roney-Dougal, Colva M.
[J]. ARCHIV DER MATHEMATIK, 2015, 105 (03) : 201 - 204
[18] Bounds for the probability of generating the symmetric and alternating groups
Attila Maróti
M. Chiara Tamburini
[J]. Archiv der Mathematik, 2011, 96 : 115 - 121
[19] Power groups of free abelian groups of finite rank
Smith, GC
Traustason, G
[J]. COMMUNICATIONS IN ALGEBRA, 2002, 30 (09) : 4487 - 4498
[20] ON THE RANK OF QUADRATIC EQUATIONS IN FREE GROUPS
COMERFORD, LP
EDMUNDS, CC
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 1989, 60 (01) : 21 - 31

← 1 2 3 4 5 →