Results 71 to 80 of about 76,450 (196)

Automorphisms of locally compact groups [PDF]

Pacific Journal of Mathematics, 1978
It is proved that for arbitrary locally compact groups G the automorphism group Aut (G) is a complete topological group. Several conditions equivalent to closedness of the group Int (G) of inner automorphisms are given, such as G admits no nontrivial central sequences. It is shown that Aut (G) is topologically embedded in the automorphism group Aut^(G)
Peters, J., Sund, Terje
openaire   +4 more sources

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré, Federico Milanesio, Marcelo Oyarzo, Matteo Santoro, Mario Trigiante   +4 more
wiley   +1 more source

Calculating the symmetry of hexamethylcyclohexane

Macedonian Journal of Chemistry and Chemical Engineering, 2007
An Euclidean graph associated with a molecule is defined by a weighted graph with adjacency matrix. Balasubramanian (1995) computed the Euclidean graphs and their automorphism groups for benzene, eclipsed and staggered forms of ethane, and eclipsed and ...
Ahmad Gholami, Ali Reza Ashrafi, Fariba Nazari   +2 more
doaj   +1 more source

FOLDING FREE-GROUP AUTOMORPHISMS [PDF]

The Quarterly Journal of Mathematics, 2013
We describe an algorithm that uses Stallings' folding technique to decompose an element of $Aut(F_n)$ as a product of Whitehead automorphisms (and hence as a product of Nielsen transformations.) We use this to give an alternative method of finding a finite generating set for the subgroup of $Aut(F_n)$ that fixes a subset $Y$ of the basis elements, and ...
openaire   +2 more sources

Symmetrization and the rate of convergence of semigroups of holomorphic functions

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
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, Argyrios Christodoulou   +1 more
wiley   +1 more source

The automorphism groups of domains and the Greene-Krantz conjecture [PDF]

Opuscula Mathematica
We consider the subject of the automorphism groups of domains in complex space. In particular, we describe and discuss the noted Greene-Krantz conjecture.
Steven G. Krantz
doaj   +1 more source

Noncommutative polygonal cluster algebras

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
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, Dani Kaufman, Merik Niemeyer, Anna Wienhard   +3 more
wiley   +1 more source

Automorphism Properties and Classification of Adinkras

Advances in Mathematical Physics, 2015
Adinkras are graphical tools for studying off-shell representations of supersymmetry. In this paper we efficiently classify the automorphism groups of Adinkras relative to a set of local parameters.
B. L. Douglas, S. James Gates, B. L. Segler, J. B. Wang   +3 more
doaj   +1 more source

Automorphisms of Coxeter groups [PDF]

Transactions of the American Mathematical Society, 2005
16 pages, no figures. Submitted to Trans. Amer.
openaire   +3 more sources

Graphical small cancellation and hyperfiniteness of boundary actions

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
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, Damian Osajda, Koichi Oyakawa   +2 more
wiley   +1 more source