Cover Image

Commutators between coprime order elements in non-abelian simple groups

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Lucchini, Andrea, Spiga, Pablo
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 simple groups have many classes of prime order elements
by: Anzanello, Jessica, et al.
Published: (2025)

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

IBIS primitive groups of almost simple type
by: Mastrogiacomo, Fabio, et al.
Published: (2024)

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

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

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

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

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

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

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)

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

Normal 2-coverings in affine groups of small dimension
by: Fusari, Marco, et al.
Published: (2025)

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

Cliques in derangement graphs for innately transitive groups
by: Fusari, Marco, et al.
Published: (2023)

Quadratic maps between non-abelian groups
by: Jamneshan, Asgar, et al.
Published: (2024)

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

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

Haar graphical representations of finite groups and an application to poset representations
by: Morris, Joy, et al.
Published: (2024)

Some remarks on the orbit dimension of transitive groups and on the metric dimension of Johnson graphs
by: Drera, Alice, et al.
Published: (2026)

Counting subgroups of a finite group containing a prescribed subgroup
by: Guerra, Lorenzo, et al.
Published: (2025)

Finite groups with the minimal generating set exchange property
by: Lucchini, Andrea, et al.
Published: (2025)

An equivalence between a conjecture of Neumann-Praeger on Kronecker classes and a conjecture on cliques of derangement graphs
by: Anzanello, Jessica, et al.
Published: (2026)

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

The maximal rank of a string group generated by involutions for alternating groups
by: Anzanello, Jessica, et al.
Published: (2025)

Kronecker classes, normal coverings and chief factors of groups
by: Fusari, Marco, et al.
Published: (2024)

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

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

On a bijection between a finite group to a non-cyclic group with divisibility of element orders
by: Amiri, Mohsen
Published: (2024)

Normal subgroups and permutation characters: a correction to a proof of Klingen
by: Muller, Peter, et al.
Published: (2025)

On the base size of a finite group on its action on the lattice of subgroups
by: Du, JiaLi, et al.
Published: (2026)

Groups with conjugacy classes of coprime sizes
by: Camina, Rachel D., et al.
Published: (2025)

Groups having minimal covering number 2 of diagonal type
by: Fusari, Marco, et al.
Published: (2024)

Finite groups with coprime non-linear codegrees
by: Zarezadeh, Ashkan, et al.
Published: (2024)

On minimal product-one sequences of maximal length over the non-abelian group of order $pq$
by: Avelar, Danilo Vilela, et al.
Published: (2025)

2-blocks with abelian defect groups and inertial quotient of prime order
by: Zhou, Qianhu, et al.
Published: (2026)

On the proportion of derangements and on suborbits in finite transitive groups
by: Barbieri, Marco, et al.
Published: (2024)

On the structure of the character degree graphs having diameter three
by: Dolfi, Silvio, et al.
Published: (2024)

Quasi-affine and quasi-quadratic maps of groups with non-abelian targets
by: Moravec, Primoz
Published: (2025)

Exact bounds for the sum of the inverse-power of element orders in non-cyclic finite groups
by: Archita, M.
Published: (2024)