Results 41 to 50 of about 6,291 (145)
Simple 3‐Designs of PSL ( 2 , 2 n ) With Block Size 13
ABSTRACT This paper focuses on the investigation of simple 3‐( 2 n + 1 , 13 , λ ) designs admitting PSL ( 2 , 2 n ) as an automorphism group. Such designs arise from the orbits of 13‐element subsets under the action of PSL ( 2 , 2 n ) on the projective line X = GF ( 2 n ) ∪ { ∞ }, and any union of these orbits also forms a 3‐design.
Takara Kondo, Yuto Nogata
wiley +1 more source
Entropy rigidity for cusped Hitchin representations
Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary +2 more
wiley +1 more source
On bipartite divisor graphs for group conjugacy class sizes
Many authors have considered the influence of arithmetic structure, such as conjugacy class sizes or character degrees, on the algebraic structure of a finite group. Graphs have been introduced to illustrate this arithmetic structure. Let \(X\) be a set of positive integers, then the `prime vertex graph' \(\Delta(X)\) of \(X\) is defined as follows ...
BUBBOLONI, DANIELA +3 more
openaire +3 more sources
Two Types of Non‐Abelian Topological Phase Transitions Under Duality Mapping in 1D Photonic Chains
In this work, two types of non‐Abelian phase transitions are revealed. The first type is the braided‐node type, signified by the Dirac degeneracy node moving into or out of the unit circle. The second type corresponds to the emerging of nodal‐line degeneracy which intersects with unit circles.
Yufu Liu +6 more
wiley +1 more source
Examples illustrating some aspects of the weak Deligne-Simpson pro blem [PDF]
We consider the variety of $(p+1)$-tuples of matrices $A_j$ (resp. $M_j$) from given conjugacy classes $c_j\subset gl(n,{\bf C})$ (resp. $C_j\subset GL(n,{\bf C})$) such that $A_1+... +A_{p+1}=0$ (resp. $M_1... M_{p+1}=I$). This variety is connected with
Kostov, Vladimir Petrov
core +1 more source
Multiplicities of conjugacy class sizes of finite groups
6 ...
openaire +2 more sources
Abstract Using data from a cluster of ground‐based global navigation satellite system, we observed spatially extended enhanced ROTI over the European longitudes during a weak geomagnetic storm (Dst ≈ ${\approx} $ −50 nT) on 4 November 2023. The enhanced ROTI is extended over an extensive geographical latitudinal range of 46°N.
Chandan Kapil +4 more
wiley +1 more source
On stabilizers in finite permutation groups
Abstract Let G$G$ be a permutation group on the finite set Ω$\Omega$. We prove various results about partitions of Ω$\Omega$ whose stabilizers have good properties. In particular, in every solvable permutation group there is a set‐stabilizer whose orbits have length at most 6, which is best possible and answers two questions of Babai.
Luca Sabatini
wiley +1 more source
The Divisibility Graph of finite groups of Lie Type
The Divisibility Graph of a finite group $G$ has vertex set the set of conjugacy class lengths of non-central elements in $G$ and two vertices are connected by an edge if one divides the other.
Abdolghafourian, Adeleh +2 more
core +1 more source
Equivariant v1,0⃗$v_{1,\vec{0}}$‐self maps
Abstract Let G$G$ be a cyclic p$p$‐group or generalized quaternion group, X∈π0SG$X\in \pi _0 S_G$ be a virtual G$G$‐set, and V$V$ be a fixed point free complex G$G$‐representation. Under conditions depending on the sizes of G$G$, X$X$, and V$V$, we construct a self map v:ΣVC(X)(p)→C(X)(p)$v\colon \Sigma ^V C(X)_{(p)}\rightarrow C(X)_{(p)}$ on the ...
William Balderrama +2 more
wiley +1 more source

