Criterion of unrecognizability of a finite group by its Gruenberg-Kegel graph (Q2153307)

scientific article; zbMATH DE number 7552663

Language	Label	Description	Also known as
English	Criterion of unrecognizability of a finite group by its Gruenberg-Kegel graph	scientific article; zbMATH DE number 7552663

Statements

instance of

scholarly article

0 references

title

Criterion of unrecognizability of a finite group by its Gruenberg-Kegel graph (English)

0 references

author

P. J. Cameron

0 references

Natal'ya Vladimirovna Maslova

0 references

published in

Journal of Algebra

0 references

publication date

4 July 2022

0 references

full work available at URL

https://arxiv.org/abs/2012.01482

0 references

zbMATH Keywords

finite group

0 references

Gruenberg-Kegel graph (prime graph)

0 references

almost simple group

0 references

recognition by Gruenberg-Kegel graph (prime graph)

0 references

describes a project that uses

ATLAS Group Representations

0 references

MaRDI profile type

Publication

0 references

cites work

On the structure of the power graph and the enhanced power graph of a group

0 references

Quasirecognition by prime graph of the simple group $^2F_4(q)$.

0 references

On the prime graph of Dn(q) where q ∊ {2, 5}

0 references

CHARACTERIZATION BY PRIME GRAPH OF PGL(2, pk) WHERE p AND k > 1 ARE ODD

0 references

On recognizability of some finite simple orthogonal groups by spectrum.

0 references

Finite groups whose prime graphs do not contain triangles. II

0 references

Quasirecognition by prime graph of $U_3(q)$ where $2<q=p^\alpha<100$.

0 references

Quasirecognition by the prime graph of $L_3(q)$ where $3<q<100$.

0 references

Recognition by prime graph of $^2D_{2^m+1}(3)$.

0 references

On the composition factors of a group with the same prime graph as B n (5)

0 references

Groups with the same prime graph as the simple group $D_n(5)$.

0 references

Quasirecognition by prime graph of $^2D_n(3^\alpha)$ where $n=4m+1\geq 21$ and $\alpha$ is odd

0 references

Q2972759

0 references

Quasirecognition by prime graph of the simple group $B_n(2)$.

0 references

On groups of even order

0 references

ON THE PRIME GRAPH OF SIMPLE GROUPS

0 references

Between the enhanced power graph and the commuting graph

0 references

Q4869726

0 references

Q3684278

0 references

Q5476744

0 references

On realizability of a graph as the prime graph of a finite group

0 references

Q2932258

0 references

Quasirecognition by the prime graph of the group $C_n(2)$, where $n\neq 3$ is odd.

0 references

2-quasirecognizability of the simple groups $B_n(p)$ and $C_n(p)$ by prime graph.

0 references

Characterizations of the simple group $^2D_n(3)$ by prime graph and spectrum.

0 references

2-recognizability of the simple groups $B_n(3)$ and $C_n(3)$ by prime graph.

0 references

Q4375273

0 references

Characterization of groups with non-simple socle

0 references

On recognition by spectrum of symmetric groups.

0 references

Finite almost simple groups whose Gruenberg-Kegel graphs coincide with Gruenberg-Kegel graphs of solvable groups

0 references

The group J4 × J4 is recognizable by spectrum

0 references

On groups having the prime graph as alternating and symmetric groups

0 references

On spectra of almost simple extensions of even-dimensional orthogonal groups

0 references

On element orders in covers of $L_4(q)$ and $U_4(q)$

0 references

On the structure of finite groups isospectral to finite simple groups.

0 references

Recognition of symplectic and orthogonal groups of small dimensions by spectrum

0 references

On recognition of $L_4(q)$ and $U_4(q)$ by spectrum

0 references

A characterization of the prime graphs of solvable groups.

0 references

Decomposition of the Augmentation Ideal and of the Relation Modules of a Finite Group

0 references

Finite simple unisingular groups of Lie type

0 references

The Prime Graph of a Sporadic Simple Group

0 references

Prime graph components of the simple groups of Lie type over the field of even characteristic

0 references

Corrigendum to: Prime graph components of the simple groups of Lie type over the field of even characteristic

0 references

Q4839675

0 references

Q4510921

0 references

Q3545620

0 references

n-RECOGNITION BY PRIME GRAPH OF THE SIMPLE GROUP PSL(2,q)

0 references

Q5391562

0 references

Q3101030

0 references

Quasirecognition by prime graph of simple group D_n(3)

0 references

Quasirecognition by prime graph of $F_4(q)$ where $q=2^n>2$.

0 references

On the prime graph of $\text{PSL}(2,p)$ where $p>3$ is a prime number.

0 references

Q5438373

0 references

A characterization of the finite simple group $L_{16}(2)$ by its prime graph.

0 references

On recognition by prime graph of the projective special linear group over GF(3)

0 references

Quasirecognition by prime graph of some alternating groups

0 references

Quasirecognition by prime graph of finite simple groups $L_n(2)$ and $U_n(2)$.

0 references

Quasirecognition by prime graph of some orthogonal groups over the binary field.

0 references

Q5745030

0 references

PRIME GRAPH COMPONENTS OF FINITE SIMPLE GROUPS

0 references

Recognition of the groups $E_7(2)$ and $E_7(3)$ by prime graph

0 references

On recognition of the sporadic simple groups $HS$, $J_3$, $Suz$, $O'N$, $Ly$, $Th$, $Fi_{23}$, and $Fi'_{24}$ by the Gruenberg-Kegel graph

0 references

On finite tetraprimary groups.

0 references

Recognition of alternating groups of prime degree from their element orders

0 references

The Kourovka notebook. Unsolved problems in group theory.

0 references

The diameter of the prime graph of a finite group

0 references

On groups critical with respect to a set of natural numbers.

0 references

Q4618424

0 references

On quasirecognition by prime graph of the simple groups $A^{+}_{n}(p)$ and $A^{-}_{n}(p)$

0 references

On 2-Modular Representations of the Suzuki Groups

0 references

On the coincidence of Grünberg-Kegel graphs of a finite simple group and its proper subgroup.

0 references

On the realizability of a graph as the Gruenberg-Kegel graph of a finite group

0 references

The set of orders of elements in a finite group

0 references

Q4369487

0 references

Q4369570

0 references

Q4677694

0 references

A criterion of unrecognizability by spectrum for finite groups.

0 references

On $r$-recognition by prime graph of $B_p(3)$ where $p$ is an odd prime.

0 references

Groups with the same prime graph as the orthogonal group $B_n(3)$.

0 references

Q3177192

0 references

Quasirecognition by prime graph of the groups $^2 D_{2n}(q)$ where $q<10^5$

0 references

Q4627169

0 references

Characterization of the group $G_2(5)$ by the prime graph

0 references

Q3804899

0 references

On almost recognizability by spectrum of simple classical groups

0 references

On recognition of alternating groups by prime graph

0 references

Groups Having Strongly Self-Centralizing 3-Centralizers

0 references

On a class of doubly transitive groups

0 references

Q5476750

0 references

On finite groups isospectral to simple classical groups.

0 references

Characterization of the finite simple groups by spectrum and order.

0 references

An Adjacency Criterion for the Prime Graph of a Finite Simple Group

0 references

Cocliques of maximal size in the prime graph of a finite simple group

0 references

Prime graph components of finite groups

0 references

A study of enhanced power graphs of finite groups

0 references

Recognition of the simple groups L3(q) by element orders

0 references

Recognition of finite groups by the prime graph

0 references

Recognition of simple groups U 3(Q) by element orders

0 references

Uniqueness of the prime graph of $L_{16}(2)$.

0 references

Finite groups with a five-component prime graph.

0 references

Q4268217

0 references

QUASIRECOGNITION BY PRIME GRAPH OF THE SIMPLE GROUPS G2(q) AND 2B2(q)

0 references

On finite groups with disconnected prime graph.

0 references

Identifiers

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

10.1016/J.JALGEBRA.2021.12.005

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:2153307