[图书][B] The maximal subgroups of the low-dimensional finite classical groups

JN Bray, DF Holt, CM Roney-Dougal - 2013 - books.google.com
This book classifies the maximal subgroups of the almost simple finite classical groups in
dimension up to 12; it also describes the maximal subgroups of the almost simple finite …

[PDF][PDF] Network robustness and graph topology

AH Dekker, BD Colbert - ACSC, 2004 - crpit.scem.westernsydney.edu.au
Two important recent trends in military and civilian communications have been the
increasing tendency to base operations around an internal network, and the increasing …

Criterion of unrecognizability of a finite group by its Gruenberg–Kegel graph

PJ Cameron, NV Maslova - Journal of Algebra, 2022 - Elsevier
Abstract The Gruenberg–Kegel graph Γ (G) associated with a finite group G is an undirected
graph without loops and multiple edges whose vertices are the prime divisors of| G| and in …

The minimal degrees of faithful representations of the sporadic simple groups and their covering groups

C Jansen - LMS Journal of Computation and Mathematics, 2005 - cambridge.org
The Minimal Degrees of Faithful Representations of the Sporadic Simple Groups and their
Covering Groups Page 1 London Mathematical Society ISSN 1461–1570 THE MINIMAL …

On the torsion units of some integral group rings

M Hertweck - Algebra Colloquium, 2006 - World Scientific
It is shown that any torsion unit of the integral group ring ℤG of a finite group G is rationally
conjugate to a trivial unit if G= P⋊ A with P a normal Sylow p-subgroup of G and A an …

Flag‐Transitive 2‐Symmetric Designs with Sporadic Socle

D Tian, S Zhou - Journal of Combinatorial Designs, 2015 - Wiley Online Library
Let be a nontrivial 2‐symmetric design admitting a flag‐transitive, point‐primitive
automorphism group G of almost simple type with sporadic socle. We prove that there are up …

Finite groups of symplectic automorphisms of hyperk\"ahler manifolds of type

G Höhn, G Mason - arXiv preprint arXiv:1409.6055, 2014 - arxiv.org
We determine the possible finite groups $ G $ of symplectic automorphisms of hyperk\" ahler
manifolds which are deformation equivalent to the second Hilbert scheme of a K3 surface …

Flag‐Transitive Point‐Primitive Automorphism Groups of Nonsymmetric Designs

H Liang, S Zhou - Journal of Combinatorial Designs, 2016 - Wiley Online Library
In this article, we show that if is a nontrivial nonsymmetric design admitting a flag‐transitive
point‐primitive automorphism group G, then G must be an affine or almost simple group …

BKM Lie superalgebras from counting twisted CHL dyons

S Govindarajan - Journal of High Energy Physics, 2011 - Springer
Following Sen, we study the counting of ('twisted') BPS states that contribute to twisted
helicity trace indices in four-dimensional CHL models with\(\mathcal {N}= 4\) supersymmetry …

The primitive permutation groups of degree less than 4096

HJ Coutts, M Quick… - Communications in …, 2011 - Taylor & Francis
In this article we use the Classification of the Finite Simple Groups, the O'Nan–Scott
Theorem, and Aschbacher's theorem to classify the primitive permutation groups of degree …