Results 101 to 110 of about 96,321 (254)
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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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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Ree groups as automorphism groups of block designs
Examples and CounterexamplesA recent classification of flag-transitive 2-designs with parameters (v,k,λ) whose replication number r is coprime to λ gives rise to eight possible infinite families of 2-designs, some of which are with new parameters.
Ashraf Daneshkhah
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On Azumaya algebras with a finite automorphism group
International Journal of Mathematics and Mathematical Sciences, 2001 Let B be a ring with 1, C the center of B, and G a finite automorphism group of B. It is shown that if B is an Azumaya algebra such that B=⊕∑g∈GJg where Jg={b∈B|bx=g(x)b for all x∈B}, then there exist orthogonal central idempotents {fi∈C|i=1,2,…,m ...
George Szeto, Lianyong Xue
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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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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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Holomorphic field theories and higher algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
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The conjugacy problem for ascending HNN‐extensions of free groups
Proceedings of the London Mathematical Society, Volume 131, Issue 4, October 2025.Abstract We give an algorithm to solve the Conjugacy Problem for ascending HNN‐extensions of free groups. To do this, we give algorithms to solve certain problems on dynamics of free group endomorphisms.
Alan D. Logan
wiley +1 more source
On central endomorphisms of a group [PDF]
International Journal of Group Theory, 2015 Let Γ be a normal subgroup of the full automorphism group Aut(G) of a group G , and assume that Inn(G)≤Γ . An endomorphism σ of G is said to be {\it Γ -central} if σ induces the the identity on the factor group G/C G (Γ) .
Alessio Russo
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