On the probability of generating a minimal d-generated group
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Publication:2765549
DOI10.1017/S1446788700002822zbMath1011.20025OpenAlexW2132227938MaRDI QIDQ2765549
Fiorenza Morini, Andrea Lucchini, Francesca Dalla Volta
Publication date: 5 March 2003
Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s1446788700002822
Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Probabilistic methods in group theory (20P05)
Related Items (10)
A 2-generated just-infinite profinite group which is not positively generated. ⋮ Boundedly generated subgroups of finite groups ⋮ On boundedly generated subgroups of profinite groups. ⋮ Crowns and factorization of the probabilistic zeta function of a finite group. ⋮ Counting irreducible modules for profinite groups ⋮ GENERATING MAXIMAL SUBGROUPS OF FINITE ALMOST SIMPLE GROUPS ⋮ Detecting the prime divisors of the character degrees and the class sizes by a subgroup generated with few elements ⋮ The number of maximal subgroups and probabilistic generation of finite groups ⋮ Coprime invariable generation and minimal-exponent groups. ⋮ Bounds on the number of maximal subgroups of finite groups
Cites Work
- Some applications of the first cohomology group
- The probability of generating a finite classical group
- Zu einem von B. H. und H. Neumann gestellten Problem
- Decomposition of the Relation Modules of a Finite Group
- The smallest group with non-zero presentation rank
- On groups withd-generator subgroups of coprime index
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