Results 121 to 130 of about 14,423,502 (287)
Automorphisms in Varieties of Groups
Journal of Algebra, 1995 If \(N\) is a characteristic subgroup of the group \(G\), then each automorphism of \(G\) induces an automorphism on \(G/N\) and so there is a homomorphism \(\pi:\text{Aut}(G)\to\text{Aut}(G/N)\). Thus if \(V\) is a variety of groups, \(V(F_n)\) the verbal subgroup corresponding to \(V\) and \(F_n(V)\cong F_n/V(F)\) the relatively free group of \(V ...
Bryant, R. M., Papistas, A. I.
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A characterization of metaplectic time–frequency representations
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We characterize all time–frequency representations that satisfy a general covariance property: any weak*‐continuous bilinear mapping that intertwines time–frequency shifts on the configuration space with time–frequency shifts on phase space is a multiple of a metaplectic time–frequency representation. This characterization offers an intrinsic,
Karlheinz Gröchenig, Irina Shafkulovska
wiley +1 more source
Noninner automorphisms of finite p-groups leaving the center elementwise fixed [PDF]
International Journal of Group Theory, 2013 A longstanding conjecture asserts that every finite nonabelian p-group admits a noninner automorphism of order p. Let G be a finite nonabelian p-group.
Alireza Abdollahi, S. Mohsen Ghoraishi
doaj
On the cohomology of finite‐dimensional nilpotent groups and lie rings
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley +1 more source
On automorphism groups of Toeplitz subshifts
Discrete Analysis, 2017 On automorphism groups of Toeplitz subshifts, Discrete Analysis 2017:11, 19 pp. A discrete dynamical system is a space $X$ with some kind of structure, together with a map $\sigma\colon X\to X$ that preserves the structure.
Sebastian Donoso +3 more
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Automorphism groups of 2-groups
Journal of Algebra, 2006 It is conjectured that \(|G|\mid|\Aut(G)|\) for every nonabelian \(p\)-group \(G\). In this paper the following results are proven. Theorem. For every \(s\in\mathbb{N}\) there exists \(o(r,s)\in\mathbb{N}\) such that \(2^s\mid|G|\mid|\Aut(G)|\) for all \(2\)-groups \(G\) of coclass \(r\) and order at least \(o(r,s)\). -- Corollary.
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On the holomorphic automorphism group of a generalized complex ellipsoid
, 2014 In this paper, we completely determine the structure of the holomorphic automorphism group of a generalized complex ellipsoid. This is a natural generalization of a result due to Landucci.
A. Kodama
semanticscholar +1 more source
Maximum number of zeroes of polynomials on weighted projective spaces over a finite field
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We compute the maximum number of rational points at which a homogeneous polynomial can vanish on a weighted projective space over a finite field, provided that the first weight is equal to 1. This solves a conjecture by Aubry, Castryck, Ghorpade, Lachaud, O'Sullivan and Ram, which stated that a Serre‐like bound holds with equality for weighted
Jade Nardi, Rodrigo San‐José
wiley +1 more source
Most switching classes with primitive automorphism groups contain graphs with trivial groups
, 2015 The operation of switching a graph Gamma with respect to a subset X of the vertex set interchanges edges and non-edges between X and its complement, leaving the rest of the graph unchanged.
Cameron, Peter Jephson, Spiga, Pablo
core
Surfaces with given Automorphism Group
, 2023 Frucht showed that, for any finite group $G$, there exists a cubic graph such that its automorphism group is isomorphic to $G$. For groups generated by two elements we simplify his construction to a graph with fewer nodes. In the general case, we address
Akpanya, Reymond, Goertzen, Tom
core