Results 261 to 270 of about 773,208 (320)

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

Management of neonatal ovarian cysts: a 10-year single-center experience. [PDF]

open access: yesPediatr Surg Int
Szymon O   +4 more
europepmc   +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

Prosoluble subgroups of the profinite completion of the fundamental group of compact 3‐manifolds

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract We give a description of finitely generated prosoluble subgroups of the profinite completion of 3‐manifold groups and toral relatively hyperbolic virtually compact special groups.
Lucas C. Lopes, Pavel A. Zalesskii
wiley   +1 more source

The structure of sets with cube‐avoiding sumsets

open access: yesMathematika, Volume 71, Issue 4, October 2025.
Abstract Suppose G$G$ is a finite abelian group, Z0⊂G$Z_0 \subset G$ is not contained in any strict coset in G$G$, and E,F$E,F$ are dense subsets of Gn$G^n$ such that the sumset E+F$E+F$ avoids Z0n$Z_0^n$. We show that E$E$ and F$F$ are almost entirely contained in sets defined by a bounded number of coordinates, that is, sets E′×GIc$E^{\prime } \times
Thomas Karam, Peter Keevash
wiley   +1 more source

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