Results 81 to 90 of about 9,251 (245)
Topological rigidity of automorphism systems
Nantong Daxue xuebao. Ziran kexue banThis paper studies the automorphism actions of countable discrete groups on the étale equivalence relations on compact metric spaces. First, the notion of continuous strong orbit equivalence for automorphism systems is introduced and it is proved that ...
QIANG Xiangqi
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Automorphisms of the Dihedral Groups [PDF]
Proceedings of the National Academy of Sciences, 1942 Not ...
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Automorphisms of Group Extensions [PDF]
Transactions of the American Mathematical Society, 1971 If 1 G I> E X-4 I -> 1 is a group extension, with t an inclusion, any automorphism T of E which takes G onto itself induces automorphisms T on G and a on 11. However, for a pair (a, T) of automorphism of 11 and G, there may not be an automorphism of E inducing the pair. Let Xx: H -IOut G be the homomorphism induced by the given extension. A pair (a, T)
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On discrete subgroups of the complex unit ball
Mathematische Nachrichten, Volume 298, Issue 10, Page 3272-3286, October 2025.Abstract In this paper, we study conditions for a discrete subgroup of the automorphism group of the n$n$‐dimensional complex unit ball to be of convergence type or second kind, connecting these classifications to the existence of Green's functions and subharmonic or harmonic functions on its quotient space.
Aeryeong Seo
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Finite Vertex Bi-Primitive 2-Arc Transitive Graphs Admitting a Two-Dimensional Linear Group
IEEE Access, 2019 A graph is said to be vertex bi-primitive, if it is a bipartite graph, and the setwise stabilizer of its automorphism group acts primitively on two bi-parts.
Xiaohui Hua
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The dihedral group as a group of automorphisms
Journal of Algebra, 2013 AbstractSuppose that D=〈α,β〉 is a dihedral group generated by two involutions α and β. Let D act on a finite group G in such a manner that CG(αβ)=1. We show that if CG(α) and CG(β) are both nilpotent of class c, then G is nilpotent and the class of G is bounded solely in terms of c.
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Irredundant bases for soluble groups
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3013-3023, October 2025.Abstract Let Δ$\Delta$ be a finite set and G$G$ be a subgroup of Sym(Δ)$\operatorname{Sym}(\Delta)$. An irredundant base for G$G$ is a sequence of points of Δ$\Delta$ yielding a strictly descending chain of pointwise stabilisers, terminating with the trivial group. Suppose that G$G$ is primitive and soluble. We determine asymptotically tight bounds for
Sofia Brenner +2 more
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A note on local formulae for the parity of Selmer ranks
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3112-3132, October 2025.Abstract In this note, we provide evidence for a certain ‘twisted’ version of the parity conjecture for Jacobians, introduced in prior work of Dokchitser, Green, Konstantinou and the author. To do this, we use arithmetic duality theorems for abelian varieties to study the determinant of certain endomorphisms acting on p∞$p^\infty$‐Selmer groups.
Adam Morgan
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On the automorphism group of a matroid
Discrete Mathematics, 1972 AbstractWe show that for any group H (finite or infinite) there exists an independence structure with automorphism group isomorphic to H. The proof is by construction and shows that for any H there is a geometric lattice with automorphism group isomorphic to H.
Harary, Frank +2 more
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Property (T) for groups acting on affine buildings
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3151-3162, October 2025.Abstract We prove that a group acting geometrically on a thick affine building has property (T). A more general criterion for property (T) is given for groups acting on partite complexes.
Izhar Oppenheim
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