Results 111 to 120 of about 118,465 (290)
Automorphisms of solvable groups [PDF]
It is important to note that in both these statements only the existence of integers t(p, n) and m(p) is claimed. The only specific information known is that in(2) =2, m (3) =2, and mi(5) = 3 (see [1 ]) . Even upper bounds for the values of t(p, n) and m(p) are not known to us.
openaire +1 more source
Automorphism groups of tree actions and of graphs of groups
Let Γ be a group. The minimal non-abelian Γ-actions on real trees can be parametrized by the projective space of the associated length functions. The outer automorphism group of Γ, Out(Γ) = Aut(Γ)ad(Γ), acts on this space.
H. Bass, Renfang Jiang
semanticscholar +1 more source
The discriminant criterion and automorphism groups of quantized algebras [PDF]
We compute the automorphism groups of some quantized algebras, including tensor products of quantum Weyl algebras and some skew polynomial rings.
Seçil Çeken +3 more
semanticscholar +1 more source
Symmetrization and the rate of convergence of semigroups of holomorphic functions
Abstract Let (ϕt)$(\phi _t)$, t⩾0$t\geqslant 0$, be a semigroup of holomorphic self‐maps of the unit disk D$\mathbb {D}$. Let Ω$\Omega$ be its Koenigs domain and τ∈∂D$\tau \in \partial \mathbb {D}$ be its Denjoy–Wolff point. Suppose that 0∈Ω$0\in \Omega$ and let Ω♯$\Omega ^\sharp$ be the Steiner symmetrization of Ω$\Omega$ with respect to the real axis.
Dimitrios Betsakos +1 more
wiley +1 more source
Bounded Automorphisms of Groups
Let \(G\) be the fundamental group of a graph of groups (in the sense of Bass-Serre theory). Such a group has a natural length function and thus a corresponding notion of bounded subgroups and bounded automorphisms. The general result of this paper is that an automorphism of \(G\) is bounded if and only if it is induced by isomorphisms of vertex groups
openaire +2 more sources
Noncommutative polygonal cluster algebras
Abstract We define a new family of noncommutative generalizations of cluster algebras called polygonal cluster algebras. These algebras generalize the noncommutative surfaces of Berenstein–Retakh, and are inspired by the emerging theory of Θ$\Theta$‐positivity for the groups Spin(p,q)$\mathrm{Spin}(p,q)$.
Zachary Greenberg +3 more
wiley +1 more source
Graphical small cancellation and hyperfiniteness of boundary actions
Abstract We study actions of (infinitely presented) graphical small cancellation groups on the Gromov boundaries of their coned‐off Cayley graphs. We show that a class of graphical small cancellation groups, including (infinitely presented) classical small cancellation groups, admit hyperfinite boundary actions, more precisely, the orbit equivalence ...
Chris Karpinski +2 more
wiley +1 more source
Skein theory for the Links–Gould polynomial
Abstract Building further on work of Marin and Wagner, we give a cubic braid‐type skein theory of the Links–Gould polynomial invariant of oriented links and prove that it can be used to evaluate any oriented link, adding this polynomial to the list of polynomial invariants that can be computed by skein theory. As a consequence, we prove that this skein
Stavros Garoufalidis +5 more
wiley +1 more source
CLASSIFICATION OF FINITE p-GROUPS WITH METACYCLIC AUTOMORPHISMS GROUP
In this paper we classify finite p-groups (p>2 ) with metacyclic automorphism group. Particularly we prove that the automorphism group of group G is metacyclic if and only if G is cyclic of order p^n.
Shirin Fouladi
doaj
16-vertex graphs with automorphism groups A4 and A5 from the icosahedron
The article deals with the problem of finding vertex-minimal graphs with a given automorphism group. We exhibit two undirected 16-vertex graphs having automorphism groups A4 and A5.
Peteris Daugulis
doaj +1 more source

