Results 81 to 90 of about 32,457 (190)

Quantum automorphism groups of lexicographic products of graphs

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract Sabidussi's theorem [Duke Math. J. 28 (1961), 573–578] gives necessary and sufficient conditions under which the automorphism group of a lexicographic product of two graphs is a wreath product of the respective automorphism groups. We prove a quantum version of Sabidussi's theorem for finite graphs, with the automorphism groups replaced by ...
Arnbjörg Soffía Árnadóttir, Josse van Dobben de Bruyn, Prem Nigam Kar, David E. Roberson, Peter Zeman   +4 more
wiley   +1 more source

The Ext class of an approximately inner automorphism [PDF]

Transactions of the American Mathematical Society, 1998
Let A be a simple unital AT algebra of real rank zero. It is shown below that the range of the natural map from the approximately inner automorphism group to KK(A,A) coincides with the kernel of the map KK(A,A)! L 1=0 Hom(Ki(A),Ki(A)). §1 Introduction and preliminaries 1.1: An automorphism of a unital C*-algebra A is said to be an approximately inner ...
Akitaka Kishimoto, Alex Kumjian
openaire   +2 more sources

On Torelli groups and Dehn twists of smooth 4‐manifolds

Bulletin of the London Mathematical Society, Volume 57, Issue 3, Page 956-963, March 2025.
Abstract This note has two related but independent parts. Firstly, we prove a generalisation of a recent result of Gay on the smooth mapping class group of S4$S^4$. Secondly, we give an alternative proof of a consequence of work of Saeki, namely that the Dehn twist along the boundary sphere of a simply connected closed smooth 4‐manifold X$X$ with ∂X≅S3$
Manuel Krannich, Alexander Kupers
wiley   +1 more source

Locally inner automorphisms of CC-groups

Journal of Algebra, 1991
Groups with Cernikov conjugacy classes, or CC-groups, were first considered by Polovickii [9, lo] as an extension of the concept of FC-groups. A group G is said to be a CC-group if G/C&xc) is a Cernikov group for each x E G. Polovickii’s basic result is that G is a CC-group if and only if the normal closure (xc) of each element of G is Cernikov-by ...
Javier Otal, M.J. Tomkinson, Juan Manuel Peña   +2 more
openaire   +2 more sources

Hurwitz numbers for reflection groups III: Uniform formulae

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We give uniform formulae for the number of full reflection factorizations of a parabolic quasi‐Coxeter element in a Weyl group or complex reflection group, generalizing the formula for the genus‐0 Hurwitz numbers. This paper is the culmination of a series of three.
Theo Douvropoulos, Joel Brewster Lewis, Alejandro H. Morales   +2 more
wiley   +1 more source

Some New Optimal Skew Cyclic Codes With Derivation

IEEE Access
Our study included a class of cyclic codes named $\delta _{\alpha,\zeta }-$ cyclic codes over the ring $\mathcal {R}=\mathbb {F}_{2^{m}} + u\mathbb {F}_{2^{m}}+u^{2}\mathbb {F}_{2^{m}}$ , where m is an odd positive integer with $u^{3}=1$ . These codes
Asia Noor, Atif Hasan Soori, Muhammad Shoaib Arif, Kamaleldin Abodayeh   +3 more
doaj   +1 more source

Averaging multipliers on locally compact quantum groups

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We study an averaging procedure for completely bounded multipliers on a locally compact quantum group with respect to a compact quantum subgroup. As a consequence we show that central approximation properties of discrete quantum groups are equivalent to the corresponding approximation properties of their Drinfeld doubles.
Matthew Daws, Jacek Krajczok, Christian Voigt   +2 more
wiley   +1 more source

ON p-AUTOMORPHISMS THAT ARE INNER [PDF]

Bulletin of the Australian Mathematical Society, 2009
AbstractLet G be a group and let CAutΦ(G)(Z(Φ(G))) be the set of all automorphisms of G centralizing G/Φ(G) and Z(Φ(G)). For each prime p and finite p-group G, we prove that CAutΦ(G)(Z(Φ(G)))≤Inn(G) if and only if G is elementary abelian or Φ(G)=Z(G) and Z(G) is cyclic.
openaire   +2 more sources

Rigidity of quantum algebras

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract Given an associative C$\mathbb {C}$‐algebra A$A$, we call A$A$ strongly rigid if for any pair of finite subgroups of its automorphism groups G,H$G, H$, such that AG≅AH$A^G\cong A^H$, then G$G$ and H$H$ must be isomorphic. In this paper, we show that a large class of filtered quantizations are strongly rigid.
Akaki Tikaradze
wiley   +1 more source

Affine inner automorphisms of $SU(2)$

Tsukuba Journal of Mathematics, 1999
We show which inner automorphisms of $(SU(2), g)$ with an arbitrary left invariant metric $g$ into itself are affine transformations, and obtain affine transformations of $(SU(2), g)$ which are not harmonic, and study geodesics of $(SU(2), g)$ with some conditions.
Ki, U-Hang, Park, Joon-Sik
openaire   +3 more sources