Results 91 to 100 of about 3,182 (219)
A note on maximal length elements in conjugacy classes of finite coxeter groups [PDF]
, 2010 The maximal lengths of elements in each of the conjugacy classes of Coxeter groups of types $B_n$, $D_n$ and $E_6$ are determined.
Rowley, P.J. +2 more
core
Character expansiveness in finite groups [PDF]
International Journal of Group Theory, 2013 We say that a finite group $G$ is conjugacy expansive if for anynormal subset $S$ and any conjugacy class $C$ of $G$ the normalset $SC$ consists of at least as many conjugacy classes of $G$ as$S$ does.
Attila Maroti +2 more
doaj
Heights on ‘hybrid orbits’ in Shimura varieties
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We prove the ‘hybrid conjecture’ which is a common generalisation of the André–Oort conjecture and the André–Pink–Zannier conjecture, in the case of Shimura varieties of abelian type.
Rodolphe Richard, Andrei Yafaev
wiley +1 more source
Closures of conjugacy classes in g2
Journal of Algebra, 1989 Let \(\mathfrak g\) be the simple Lie algebra of type \(G_2\) and \(C_i\) be the nilpotent conjugacy class in \(\mathfrak g\) of dimension \(i = 6, 8, 10\) and \(12\). In this paper the author shows the following: (a) every conjugacy class of \(\mathfrak g\) except \(C_8\) has a normal closure with rational singularities, (b) [\textit{T. Levasseur} and
openaire +1 more source
Sign Conjugacy Classes of the Symmetric Groups [PDF]
The Electronic Journal of Combinatorics, 2015 A conjugacy class $C$ of a finite group $G$ is a sign conjugacy class if every irreducible character of $G$ takes value 0, 1 or -1 on $C$. In this paper we classify the sign conjugacy classes of the symmetric groups and thereby verify a conjecture of Olsson.
openaire +3 more sources
Sylow subgroups and the number of irreducible characters of degrees divisible by a prime p$p$
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract Let G$G$ be a finite group and p$p$ be a prime. We establish an upper bound for the derived length of a Sylow p$p$‐subgroup of G$G$ in terms of the number of irreducible characters of G$G$ whose degrees are divisible by p$p$. We also prove that if B$B$ is a p$p$‐block of a finite p$p$‐solvable group G$G$ with defect group D$D$, then the ...
James P. Cossey +3 more
wiley +1 more source
Further rigid triples of classes in $G_{2}$ [PDF]
International Journal of Group Theory, 2019 We establish the existence of two rigid triples of conjugacy classes in the algebraic group G2 in characteristic 5, complementing results of the second author with Liebeck and Marion.
Matthew Conder, Alastair Litterick
doaj +1 more source
Quasi‐convex surface subgroups in some one‐relator groups with torsion
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract We find surface subgroups in certain one‐relator groups with torsion and use this to deduce a profinite criterion for a word in the free group to be primitive.
Andrew Ng
wiley +1 more source
On Lusztig's map for spherical unipotent conjugacy classes [PDF]
, 2013 We provide an alternative description of the restriction to spherical unipotent conjugacy classes, of Lusztig's map Ψ from the set of unipotent conjugacy classes in a connected reductive algebraic group to the set of conjugacy classes of its Weyl group ...
COSTANTINI, MAURO, CARNOVALE, GIOVANNA
core +1 more source
An elegant model of the geodesic flow on the modular surface
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract Caroline Series' [The modular surface and continued fractions, J. Lond. Math. Soc. (2), 31, no. 1, (1985), 69–80] gives a clear framework linking, in a deceptively simple way, the dynamics of the geodesic flow on the modular surface with the dynamics of the regular continued fraction, through a well‐chosen symbolic coding.
Pierre Arnoux, Thomas A. Schmidt
wiley +1 more source