Cover Image

Critical groups and partitions of finite groups

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bubboloni, Daniela, Pinzauti, Nicolas
Format:	Preprint
Published:	2024
Subjects:	Group Theory Combinatorics 05C25, 20D99, 06A15
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Critical classes of power graphs and reconstruction of directed power graphs
by: Bubboloni, Daniela, et al.
Published: (2022)

Enhanced power graphs of finite groups with cograph structure
by: Bubboloni, Daniela, et al.
Published: (2025)

An exact enumeration of vertex connectivity of the enhanced power graphs of finite nilpotent groups
by: Bera, Sudip, et al.
Published: (2024)

Colourings of Cayley graphs of finite $3$-groups
by: Grzeszczuk, Piotr
Published: (2026)

Centralizers in finite groups and Domination number of their commuting graphs
by: Bera, Sudip, et al.
Published: (2026)

On arithmetical properties and arithmetical characterizations of finite groups
by: Maslova, Natalia V.
Published: (2024)

Maps, simple groups, and arc-transitive graphs
by: Liebeck, Martin W., et al.
Published: (2024)

A conjecture related to the nilpotency of groups with isomorphic non-commuting graphs
by: Grazian, Valentina, et al.
Published: (2023)

Some properties of congruence lattices of path semigroups
by: Luo, Yongle, et al.
Published: (2023)

Characterizations of $p$-groups whose power graphs satisfy certain connectivity conditions
by: Panda, Ramesh Prasad
Published: (2023)

On finite groups with soluble centralisers
by: Grazian, Valentina, et al.
Published: (2025)

Hall Skew-morphisms and Hall Cayley maps of finite groups
by: Di, Wendi, et al.
Published: (2025)

On characterization of groups by isomorphism type of Gruenberg-Kegel graph
by: Chen, Mingzhu, et al.
Published: (2025)

On $m$-partite oriented semiregular representations of finite groups
by: Du, Jia-Li
Published: (2026)

On combinatorial properties of Gruenberg--Kegel graphs of finite groups
by: Chen, Mingzhu, et al.
Published: (2024)

Difference graphs of finite abelian groups with two Sylow subgroups
by: Bošnjak, Ivica, et al.
Published: (2024)

Finite 2-groups having a cyclic or dihedral maximal subgroup and arc-transitive maps
by: Hua, Peice
Published: (2025)

Twisted right-angled Artin groups
by: Foniqi, Islam
Published: (2024)

On the strong domination number of proper enhanced power graphs of finite groups
by: Bera, Sudip
Published: (2024)

Factors in infinite groups
by: Kabenyuk, Mikhail
Published: (2026)

On the full automorphism groups of $2$-designs constructed from finite fields ${\mathbb F}_{2^n}$
by: Le, Tung, et al.
Published: (2025)

Uni-width subgroups, universal elements, and lambda number of finite groups
by: Sarkar, Siddhartha
Published: (2022)

Non-degeneracy of Killing forms on real conjugacy classes of finite groups
by: Dietzel, Carsten, et al.
Published: (2026)

Endomorphism and automorphism graphs of finite groups
by: Ajith, Midhuna V, et al.
Published: (2025)

On the size of the Schur multiplier of finite groups
by: Kalithasan, Sathasivam, et al.
Published: (2023)

A survey on conjugacy class graphs of groups
by: Cameron, P. J., et al.
Published: (2024)

Expanders and growth of normal subsets in finite simple groups of Lie type
by: Skresanov, Saveliy V.
Published: (2024)

Subgroup perfect codes of $S_n$ in Cayley sum graphs
by: Shaw, Ankan, et al.
Published: (2025)

Permutation groups, partition lattices and block structures
by: Anagnostopoulou-Merkouri, Marina, et al.
Published: (2024)

Neighborhoods, connectivity, and diameter of the nilpotent graph of a finite group
by: Delizia, Costantino, et al.
Published: (2025)

Cyclic Subgroup Lattices as Universal Sources of Power-Type Graphs
by: Mirzargar, Mahsa, et al.
Published: (2025)

Generalized quaternion NCI-groups, NNN-groups and NNND-groups
by: Yang, Jun-Feng, et al.
Published: (2026)

Permutation representations and automorphisms of evolution algebras
by: Costoya, Cristina, et al.
Published: (2024)

Common divisor graphs for skew braces
by: Properzi, Silvia, et al.
Published: (2023)

On the directed normalizing graph associated with a group
by: Delizia, Costantino, et al.
Published: (2025)

Excluded power graphs of groups
by: Curtin, Brian
Published: (2025)

Power maps on General Linear groups over finite principal ideal local rings of length two
by: Panja, Saikat, et al.
Published: (2025)

Every finite group admits a just finite presentation
by: Lackenby, Marc
Published: (2026)

Forbidden subgraphs on conjugacy class graphs of groups
by: Ray, Papi, et al.
Published: (2024)

Inductive Feit and Galois-McKay conditions for some small-rank simple groups of Lie Type
by: Tapp, Carlos
Published: (2025)