Results 51 to 60 of about 32,457 (190)
Splitting automorphisms of prime power orders of free Burnside groups
We prove that if the order of a splitting automorphism of free Burnside group~$B(m,n)$ of odd period~$n\ge1003$ is a prime power, then the automorphism is inner.
Atabekyan, Varujan S.
core +1 more source
Symmetry breaking boundary conditions and WZW orbifolds [PDF]
Symmetry breaking boundary conditions for WZW theories are discussed. We derive explicit formulae for the reflection coefficients in the presence of boundary conditions that preserve only an orbifold subalgebra with respect to an involutive automorphism ...
Birke, L., Fuchs, J., Schweigert, C.
core +2 more sources
On the Root-class Residuality of HNN-extensions of Groups
Let K be an arbitrary root class of groups. This means that K contains at least one non-unit group, is closed under taking subgroups and direct products of a finite number of factors and satisfies the Gruenberg condition: if 1 ≤ Z ≤ Y ≤ X is a subnormal ...
E. A. Tumanova
doaj +1 more source
LOCALLY INNER AUTOMORPHISMS OF OPERATOR ALGEBRAS [PDF]
17 pages; some substantive changes to the last section ("problems and comments")
openaire +3 more sources
Automorphisms of central extensions of type I von Neumann algebras
Given a von Neumann algebra $M$ we consider the central extension $E(M)$ of $M.$ For type I von Neumann algebras $E(M)$ coincides with the algebra $LS(M)$ of all locally measurable operators affiliated with $M.$ In this case we show that an arbitrary ...
Albeverio, S.+3 more
core +1 more source
Spectra of subrings of cohomology generated by characteristic classes for fusion systems
Abstract If F$\mathcal {F}$ is a saturated fusion system on a finite p$p$‐group S$S$, we define the Chern subring Ch(F)${\operatorname{Ch}}(\mathcal {F})$ of F$\mathcal {F}$ to be the subring of H∗(S;Fp)$H^*(S;{\mathbb {F}}_p)$ generated by Chern classes of F$\mathcal {F}$‐stable representations of S$S$. We show that Ch(F)${\operatorname{Ch}}(\mathcal {
Ian J. Leary, Jason Semeraro
wiley +1 more source
Exponential actions defined by vector configurations, Gale duality, and moment‐angle manifolds
Abstract Exponential actions defined by vector configurations provide a universal framework for several constructions of holomorphic dynamics, non‐Kähler complex geometry, toric geometry and topology. These include leaf spaces of holomorphic foliations, intersections of real and Hermitian quadrics, the quotient construction of simplicial toric ...
Taras Panov
wiley +1 more source
On finite $p$-groups whose automorphisms are all central
An automorphism $\alpha$ of a group $G$ is said to be central if $\alpha$ commutes with every inner automorphism of $G$. We construct a family of non-special finite $p$-groups having abelian automorphism groups. These groups provide counter examples to a
A. Jamali+21 more
core +1 more source
Generation by Conjugate Elements of Finite Almost Simple Groups With a Sporadic Socle
We study the minimum number of elements in the conjugacy class of an automorphism of a sporadic simple group that generate a subgroup containing all inner automorphisms.
D. O. Revin, A. V. Zavarnitsine
doaj +1 more source
On the Terwilliger Algebra of the Group Association Scheme of the Symmetric Group Sym ( 7 )
ABSTRACT Terwilliger algebras are finite‐dimensional semisimple algebras that were first introduced by Paul Terwilliger in 1992 in studies of association schemes and distance‐regular graphs. The Terwilliger algebras of the conjugacy class association schemes of the symmetric groups Sym ( n ), for 3 ≤ n ≤ 6, have been studied and completely determined ...
Allen Herman+2 more
wiley +1 more source