Cover Image

Finite groups with the minimal generating set exchange property

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Lucchini, Andrea, Capilla, Patricia Medina
Format:	Preprint
Published:	2025
Subjects:	Group Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Finite groups with regular subgroup graph
by: Lucchini, Andrea
Published: (2025)

Finite groups in which every cyclic subgroup is the intersection of maximal subgroups
by: Lucchini, Andrea
Published: (2025)

On the connectivity of the generating and rank graphs of finite groups
by: Lucchini, Andrea, et al.
Published: (2024)

Solubilizers in profinite groups
by: Lucchini, Andrea
Published: (2023)

Generating hypergraphs of finite groups
by: Lucchini, Andrea
Published: (2024)

2-covering numbers of some finite solvable groups
by: Lucchini, Andrea
Published: (2026)

Characterizing finite solvable groups through the nilpotency probability
by: Lucchini, Andrea
Published: (2026)

$p$-elements in profinite groups
by: Lucchini, Andrea, et al.
Published: (2024)

Independence and strong independence complexes of finite groups
by: Lucchini, Andrea, et al.
Published: (2025)

Commutators between coprime order elements in non-abelian simple groups
by: Lucchini, Andrea, et al.
Published: (2025)

On the maximal subgroups of almost simple and primitive perfect groups
by: Capilla, Patricia Medina, et al.
Published: (2026)

On finite $d$-maximal groups
by: Lucchini, Andrea, et al.
Published: (2023)

Abelian supplements in almost simple groups
by: Costantini, Mauro, et al.
Published: (2024)

Profinite groups with many elements with large nilpotentizer and generalizations
by: Garonzi, Martino, et al.
Published: (2025)

On finite groups whose power graph is claw-free
by: Manna, Pallabi, et al.
Published: (2024)

The Chebotarev invariant for direct products of nonabelian finite simple groups
by: Anzanello, Jessica, et al.
Published: (2024)

Minimal generating set of cactus groups
by: Godelle, Eddy
Published: (2025)

Finitely generated simple sharply 2-transitive groups
by: André, Simon, et al.
Published: (2022)

Finiteness properties of generalized Thompson groups via expansion sets
by: Farley, Daniel
Published: (2023)

Finiteness properties and quasi-isometry of group pairs
by: Li, Kevin, et al.
Published: (2026)

Totally deranged elements of almost simple groups and invariable generating sets
by: Harper, Scott
Published: (2023)

dp-minimal groups
by: Wagner, Frank O
Published: (2024)

On the density of Sylow numbers
by: Lucchini, Andrea, et al.
Published: (2025)

Local--global generation property of commutators in finite $π$-soluble groups
by: Acciarri, Cristina, et al.
Published: (2025)

On the partial $Π$-property of second minimal or second maximal subgroups of Sylow subgroups of finite groups
by: Qiu, Zhengtian, et al.
Published: (2023)

Finiteness properties of asymptotically rigid handlebody groups
by: Domingo-Zubiaga, Sergio
Published: (2025)

Finiteness properties of algebraic fibers of group extensions
by: Kochloukova, Dessislava H., et al.
Published: (2024)

Finiteness of CAT(0) group actions
by: Cavallucci, Nicola, et al.
Published: (2023)

On minimal coverings of groups by proper normalizers
by: Amiri, M., et al.
Published: (2020)

Finite groups with some subgroups of prime power order satisfying the partial $ Π$-property
by: Qiu, Zhengtian, et al.
Published: (2024)

Finite groups with many normalizers
by: Tărnăuceanu, Marius
Published: (2025)

Finitely presented condensed groups
by: Osin, D.
Published: (2023)

On the base size and minimal degree of transitive groups
by: Guerra, Lorenzo, et al.
Published: (2025)

Kernels of minimal characters of solvable groups
by: Moretó, Alexander
Published: (2023)

Finite groups with dense solitary subgroups
by: Tărnăuceanu, Marius
Published: (2024)

Finite generation for the group $F\left(\frac32\right)$
by: Burillo, José, et al.
Published: (2024)

Finitely generated infinite torsion groups that are residually finite simple
by: Schesler, Eduard
Published: (2024)

On the minimal degree and base size of finite primitive groups
by: Mastrogiacomo, Fabio
Published: (2024)

Finiteness properties of the Torelli group of surfaces with 2 boundary components
by: Stylianakis, Charalampos
Published: (2026)

On some algebraic and analytic properties of the finitely generated simple left orderable groups $G_ρ$
by: Fedorynski, Pawel Aleksander, et al.
Published: (2025)