Results 11 to 20 of about 307 (63)
GENERATION OF SECOND MAXIMAL SUBGROUPS AND THE EXISTENCE OF SPECIAL PRIMES
Forum of Mathematics, Sigma, 2017 Let $G$ be a finite almost simple group. It is well known that $G$
TIMOTHY C. BURNESS +2 more
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SOME QUANTITATIVE CHARACTERIZATIONS OF CERTAIN SYMPLECTIC GROUPS OVER THE BINARY FIELD
, 2014 Given a finite group G, denote by D(G) the degree pattern of G and by OC(G) the set of all order components of G. Denote by hOD(G) (resp. hOC(G)) the number of isomorphism classes of finite groups H satisfying conditions |H| = |G| and D(H) = D(G) (resp ...
M. Akbari, A. Moghaddamfar
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A New Characterization of Projective Special Unitary Groups PSU3(3n)
Discussiones Mathematicae - General Algebra and Applications, 2019 One of an important problems in finite groups theory, is characterization of groups by specific property. However, in the way the researchers, proved that some of groups by properties such as, elements order, set of elements with same order, graphs, . . .
Ebrahimzadeh Behnam, Mohammadyari Reza
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Abelian supplements in almost simple groups
Forum of Mathematics, SigmaLet G be an almost simple group with socle $G_0$ . In this paper we prove that whenever $G/G_0$ is abelian, then there exists an abelian subgroup A of G such that $G=AG_0$ .
Mauro Costantini +2 more
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Bicrossed products for finite groups
, 2009 We investigate one question regarding bicrossed products of finite groups which we believe has the potential of being approachable for other classes of algebraic objects (algebras, Hopf algebras). The problem is to classify the groups that can be written
A. Chirvăsitu +15 more
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Resolution of simple singularities yielding particle symmetries in a space-time
, 1994 A finite subgroup of the conformal group SL(2,C) can be related to invariant polynomials on a hypersurface in C^3. The latter then carries a simple singularity, which resolves by a finite iteration of basic cycles of deprojections.
Durfee A., Martin Rainer
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, 1991 Let G be a finite group and e be a positive integer dividing the order of G. Frobenius conjectured that if the number of elements whose orders divide e equals e , then G has a subgroup of order e .
N. Iiyori, H. Yamaki
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(2,3)-generation of the groups PSL6(q) [PDF]
, 2011 2010 Mathematics Subject Classification: 20F05, 20D06.We prove that the group PSL6(q) is (2,3)-generated for any q. In fact, we provide explicit generators x and y of orders 2 and 3, respectively, for the group SL6(q)
Tabakov, K., Tchakerian, K.
core
Picky elements, subnormalisers, and character correspondences
Forum of Mathematics, SigmaWe gather evidence on a new local-global conjecture of Moretó and Rizo on values of irreducible characters of finite groups. For this we study subnormalisers and picky elements in finite groups of Lie type and determine them in many cases, for unipotent ...
Gunter Malle
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Strong reality of finite simple groups
, 2010 The classification of finite simple strongly real groups is complete. It is easy to see that strong reality for every nonabelian finite simple group is equivalent to the fact that each element can be written as a product of two involutions.
Gal't, A. A., Vdovin, E. P.
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