Results 81 to 90 of about 18,810 (231)

The automorphism tower problem

open access: yes, 1985
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

open access: yesJournal of Topology, Volume 19, Issue 4, December 2026.
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

open access: yesIndian Journal of Pure and Applied Mathematics, 2014
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

On finite dual Cayley graphs

open access: yesOpen Mathematics, 2020
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

open access: yesActa Crystallographica Section A, Volume 82, Issue 6, Page 472-485, November 2026.
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

Symmetry in complex networks

open access: yes, 2008
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

open access: yesИзвестия Иркутского государственного университета: Серия "Математика"
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

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 11, November 2026.
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

open access: yes, 2020
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

open access: yesMathematics
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

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