Results 31 to 40 of about 20,469,654 (240)
The Alperin Weight Conjecture and Dade's Conjecture for the Simple Group Fi′24
LMS J. Comput. Math., 2008 We classify the radical p -subgroups and chains of the Fischer simple group Fi′ 24 and then verify the Alperin weight conjecture and the Uno reductive conjecture for Fi′ 24 .
J. An +3 more
semanticscholar +1 more source
Vertex operator algebras, extended $E_8$ diagram, and McKay's observation on the Monster simple group [PDF]
, 2004 We study McKay's observation on the Monster simple group, which relates the 2A-involutions of the Monster simple group to the extended E 8 diagram, using the theory of vertex operator algebras (VOAs).
C. Lam, H. Yamada, H. Yamauchi
semanticscholar +1 more source
Centralisers of finite groups in locally finite simple groups [PDF]
arXiv, 2022 We answer in the negative a question of Hartley about representations of finite groups, by constructing examples of finite simple groups with arbitrarily large representations whose endomorphism ring consists of just the scalars. We show as a consequence that there are finite simple groups of automorphisms of the locally finite simple group $SL(\infty,\
arxiv
Simple relations in the Cremona group
, 2010 We give a simple set of generators and relations for the Cremona group of the plane. Namely, we show that the Cremona group is the amalgamated product of the de Jonqui\`eres group with the group of automorphisms of the plane, divided by one relation ...
Blanc, Jérémy
core +1 more source
Semi-simple group unification in the supersymmetric brane world [PDF]
, 2001 The conventional supersymmetric grand unified theories suffer from two serious problems, the large mass splitting between doublet and triplet Higgs multiplets, and the too long lifetime of the proton. A unification model based on a semi-simple group SU(5)
A. Giveon +48 more
core +2 more sources
Determination of all the subgroups of the known simple group of order 25920
, 1904 The trisection of the periods of hyperelliptic functions of four periods, the determination of the 27 lines on a general cubic surface, and the reduction of a binary sextic to the canonical form T2 U3, although apparently unrelated, are not essentially ...
L. Dickson
semanticscholar +1 more source
ON THE PRIME GRAPH OF SIMPLE GROUPS [PDF]
Bulletin of the Australian Mathematical Society, 2014 AbstractLet $G$ be a finite group, let ${\it\pi}(G)$ be the set of prime divisors of $|G|$ and let ${\rm\Gamma}(G)$ be the prime graph of $G$. This graph has vertex set ${\it\pi}(G)$, and two vertices $r$ and $s$ are adjacent if and only if $G$ contains an element of order $rs$.
Burness, Tim C, Covato, Elisa
openaire +4 more sources
Group actions on central simple algebras: a geometric approach [PDF]
, 2005 We study actions of linear algebraic groups on central simple algebras using algebro-geometric techniques. Suppose an algebraic group G acts on a central simple algebra A of degree n.
Bourbaki +26 more
core +3 more sources
A finitely presented torsion-free simple group [PDF]
, 2004 We construct a finitely presented torsion-free simple group Σ0, acting cocompactly on a product of two regular trees. An infinite family of such groups was introduced by Burger and Mozes [M. Burger and S. Mozes.
Diego Rattaggi
semanticscholar +1 more source
Simple sharply 2-transitive groups [PDF]
arXiv, 2021 We construct simple sharply 2-transitive groups. Our result answers an open question of Peter Neumann. In fact, we prove that every sharply 2-transitive group of characteristic 0 embeds into a simple sharply 2-transitive group.
arxiv