Results 81 to 90 of about 18,810 (231)
The automorphism tower problem
It is shown that the automorphism tower of an infinite centerless group terminates. For each ordinal α \alpha , a group is constructed whose automorphism tower terminates in exactly α \alpha steps.
Simon Thomas
core +1 more source
Nontrivial Massey products on compact Kähler manifolds
Abstract By a result of Deligne, Griffiths, Morgan, and Sullivan, compact Kähler manifolds are rationally formal. In contrast to this, we show that the pluripotential quasi‐isomorphism type of the bigraded, bidifferential algebra of forms on a compact Kähler manifold generally contains more information than the de Rham cohomology algebra with its real ...
Giovanni Placini +2 more
wiley +1 more source
On inner automorphisms and certain central automorphisms of groups
Let \(G\) be a group and \(M,N\trianglelefteq G\). By definition an automorphism \(\alpha\) of \(G\) belongs to \(\Aut^M_N(G)\) if and only if \(g^{-1}g^\alpha\in M\) for all \(g\in G\) and \(\alpha\) fixes \(N\) elementwise. The paper under review is devoted to the study of groups \(G\) in which one of the following holds: \(\mathrm{Inn}(G)=\Aut^M_N(G)
Azhdari, Zahedeh +1 more
openaire +2 more sources
A Cayley graph Γ\Gamma on a group G is called a dual Cayley graph on G if the left regular representation of G is a subgroup of the automorphism group of Γ\Gamma (note that the right regular representation of G is always an automorphism group of Γ ...
Pan Jiangmin
doaj +1 more source
Maximal independence and regularity of Al/Si distributions in disordered phyllosilicates 2:1
The distribution of aluminium cations in disordered phyllosilicates is analysed according to the concepts of maximal independence and regularity.As an extension of previous works, we analyse regularity in disordered Al/Si distributions in phyllosilicates 2:1. The method is based on an analysis of maximal independent sets in a labelled quotient graph of
Montauban Moreira de Oliveira Jr +1 more
wiley +1 more source
We consider the size and structure of the automorphism groups of a variety of empirical ‘real-world’ networks and find that, in contrast to classical random graph models, many real-world networks are richly symmetric.
Sanchez-Garcia, Ruben J. +2 more
core +1 more source
Rota-Baxter Operators of Weight Zero on CayleyDickson Algebra with Matrix Images
Rota-Baxter operators present a natural generalization of integration by parts formula for the integral operator. We consider Rota-Baxter operators of weight zero on split octonion algebra over a field of characteristic not 2.
A. S. Panasenko
doaj +1 more source
The Haagerup property is not invariant under quasi‐isometry
Abstract Using the work of Cornulier–Valette and Whyte (see Appendix A for the latter), we show that neither the Haagerup property nor weak amenability is invariant under quasi‐isometry of finitely generated groups. Appendix B shows, using the same examples, that the same holds for vanishing of the equivariant Lp$L^p$‐compression.
Mathieu Carette +4 more
wiley +1 more source
On Automorphism-Invariant Rings with Chain Conditions
It is shown that if R is a right automorphism-invariant ring and satisfies ACC on right annihilators, then R is a semiprimary ring. By this useful fact, we study finiteness conditions which ensure an automorphism-invariant ring is quasi-Frobenius (QF ...
Le Van Thuyet, Le Van Thuyet +2 more
core +1 more source
On the Structure of Weyl-Type, Witt-Type, and Non-Associative Algebras over Expolynomial Rings
This paper introduces a generalized class of Weyl-type, Witt-type, and non-associative algebras constructed over an exponential–polynomial (expolynomial) framework.
Supriya Sharma +2 more
doaj +1 more source

