Results 131 to 140 of about 176,865 (291)

Upper ramification jumps in abelian extensions of exponent p

open access: yes, 2014
In this paper we present a classification of the possible upper ramification jumps for an elementary abelian p-extension of a p-adic field. The fundamental step for the proof of the main result is the computation of the ramification filtration for the ...
Capuano, Laura, Del Corso, Ilaria
core  

Pathological computations of Mackey functor‐valued Tor over cyclic groups

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3024-3036, October 2025.
Abstract In equivariant algebra, Mackey functors play the role of abelian groups and Green and Tambara functors play the role of commutative rings. In this paper, we compute Mackey functor‐valued Tor over certain free Green and Tambara functors, generalizing the computation of Tor over a polynomial ring on one generator.
David Mehrle   +2 more
wiley   +1 more source

Residually nilpotent groups of homological dimension 1

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3223-3232, October 2025.
Abstract If p$p$ is a prime number, then any free group is residually a finite p$p$‐group and has homological dimension 1. As a partial converse of this assertion, in this paper we show that any finitely generated group of homological dimension 1, which is residually a finite p$p$‐group, is free.
Ioannis Emmanouil
wiley   +1 more source

Helicity is a topological invariant of massless particles: C=−2h

open access: yesPhysical Review Research
There is an elementary but indispensable relationship between the topology and geometry of massive particles. The geometric spin s is related to the topological dimension of the internal space V by dimV=2s+1.
Eric Palmerduca, Hong Qin
doaj   +1 more source

A note on local formulae for the parity of Selmer ranks

open access: yesBulletin 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
wiley   +1 more source

Motivic p$p$‐adic tame cohomology

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3194-3210, October 2025.
Abstract We construct a comparison functor between (A1$\mathbf {A}^1$‐local) tame motives and (□¯${\overline{\square }}$‐local) log‐étale motives over a field k$k$ of positive characteristic. This generalizes Binda–Park–Østvær's comparison for the Nisnevich topology.
Alberto Merici
wiley   +1 more source

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