Results 91 to 100 of about 167,102,035 (280)
Approximate Itai–Zehavi Conjecture for Random Graphs
ABSTRACT A famous conjecture by Itai and Zehavi states that, for every d$$ d $$‐vertex‐connected graph G$$ G $$ and every vertex r$$ r $$ in G$$ G $$, there are d$$ d $$ spanning trees of G$$ G $$ such that, for every vertex v$$ v $$ in G∖{r}$$ G\setminus \left\{r\right\} $$, the paths between r$$ r $$ and v$$ v $$ in different trees are internally ...
Lawrence Hollom +4 more
wiley +1 more source
Equivariant affine line bundles and linearization [PDF]
We show that every algebraic action of a linearly reductive group on affine n-space C^n which is given by Jonqui`ere automorphisms is linearizable. Similarly, every holomorphic action of a compact group K by (holomorphic) Jonquière automorphisms is ...
Frank Kutzschebauch +3 more
core
Elusive groups of automorphisms of digraphs of small valency [PDF]
A transitive permutation group is called elusive if it contains no semiregular element. We show that no group of automorphisms of a connected graph of valency at most four is elusive and determine all the elusive groups of automorphisms of connected ...
Michael Giudici +3 more
semanticscholar +1 more source
Acylindrical visual splittings and the Tits alternative for Artin groups
Abstract We give a necessary and sufficient condition on a visual splitting of an Artin group satisfying the conclusions of two well‐known conjectures to be acylindrical, and demonstrate how this can be used to provide a large class of novel examples of Artin groups that satisfy the Tits alternative.
William D. Cohen
wiley +1 more source
Holomorphic Automorphisms of Danielewski Surfaces II: Structure of the Overshear Group [PDF]
We apply Nevanlinna theory for algebraic varieties to Danielewski surfaces and investigate their group of holomorphic automorphisms. Our main result states that the overshear group, which is known to be dense in the identity component of the holomorphic ...
Lind, Andreas +6 more
core +3 more sources
An action of the free product Z2⋆Z2⋆Z2 on the q-Onsager algebra and its current algebra
Recently Pascal Baseilhac and Stefan Kolb introduced some automorphisms T0, T1 of the q-Onsager algebra Oq, that are roughly analogous to the Lusztig automorphisms of Uq(slˆ2).
Paul Terwilliger
doaj +1 more source
Classification of automorphisms on a deformation family of hyper-Kähler four-folds by $p$-elementary lattices [PDF]
We give a classification of all non-symplectic automorphisms of prime order p acting on irreducible holomorphic symplectic fourfolds deformation equivalent to the Hilbert scheme of two points on a K3 surface, for p=2,3 and 7\leq p \leq 19.
Samuel Boissière, C. Camere, A. Sarti
semanticscholar +1 more source
The probability of generating finite and profinite groups
Abstract Famously, every finite simple group G$G$ can be generated by a pair of elements. Moreover, Liebeck and Shalev (1995) proved that the probability that a pair of elements generate G$G$ tends to 1 as |G|→∞$|G| \rightarrow \infty$. In this paper, we generalize this theorem of Liebeck and Shalev. Work of Lucchini and Menegazzo (1997) implies that a
Scott Harper, Martyn Quick
wiley +1 more source
Riemann surfaces with a quasi large abelian group of automorphisms
In this work we classify all Riemann surfaces having a quasi large abelian group of automorphisms, i.e. having an abelian group of automorphisms of order strictly bigger than 2(g−1), where g denotes the genus of the Riemann surface.
Roberto Pignatelli, Carmen Raso
doaj
Automorphisms and periods of cubic fourfolds [PDF]
We classify the symplectic automorphism groups for cubic fourfolds. The main inputs are the global Torelli theorem for cubic fourfolds and the classification of the fixed-point sublattices of the Leech lattice.
R. Laza, Zhi-Wei Zheng
semanticscholar +1 more source

