Results 101 to 110 of about 12,511,421 (301)

A note on local formulae for the parity of Selmer ranks

Bulletin of the London Mathematical Society, EarlyView.
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

On diagrams for abelian groups

Journal of Number Theory, 1970
AbstractLet ɒ be the ring of integers of an algebraic number field and p a prime ideal. Then if n is a positive integer, ɒ/pn is a primary ring with prime ideal p̄ = p/pn and the p̄i/p̄i+1 (0 ≤ i < n) are isomorphic groups under addition. Generalizing this idea, the author has defined the primary ring R with prime ideal N to be homogeneous if there is ...
openaire   +2 more sources

Motivic p$p$‐adic tame cohomology

Bulletin of the London Mathematical Society, EarlyView.
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

On T-Characterized Subgroups of Compact Abelian Groups

Axioms, 2015
A sequence \(\{ u_n \}_{n\in \omega}\) in abstract additively-written Abelian group \(G\) is called a \(T\)-sequence if there is a Hausdorff group topology on \(G\) relative to which \(\lim_n u_n =0\).
Saak Gabriyelyan
doaj   +1 more source

Proper pseudocompact extensions of compact abelian group topologies

, 1982
A compact Abelian group G admits a strictly finer pseudocompact topological group topology if and only if the weight of G is uncountable.
W. Comfort, L. Robertson
semanticscholar   +1 more source

Strong External Difference Families and Classification of α‐Valuations

Journal of Combinatorial Designs, Volume 33, Issue 9, Page 343-356, September 2025.
ABSTRACT One method of constructing ( a 2 + 1 , 2 , a , 1 )‐SEDFs (i.e., strong external difference families) in Z a 2 + 1 makes use of α‐valuations of complete bipartite graphs K a , a. We explore this approach and we provide a classification theorem which shows that all such α‐valuations can be constructed recursively via a sequence of “blow‐up ...
Donald L. Kreher, Maura B. Paterson, Douglas R. Stinson   +2 more
wiley   +1 more source

ON THE SUBGROUP LATTICE OF AN ABELIAN FINITE GROUP

Ratio Mathematica, 2005
The aim of this paper is to give some connections between the structure of an abelian finite group and the structure of its subgroup lattice,
Marius Tarnauceanu
doaj  

Infinite locally finite groups groups with the given properties of the norm of Abelian non-cyclic subgroups

Математичні Студії
In the paper, the properties of infinite locally finite groups with non-Dedekind locally nil\-potent norms of Abelian non-cyclic subgroups are studied. It is proved that such groups are finite extensions of a quasicyclic subgroup and contain Abelian non ...
T. D. Lukashova, M. G. Drushlyak
doaj   +1 more source

An Elementary Abelian Group of Rank 4 Is a CI-Group

Journal of Combinatorial Theory, 2001
In this paper we prove that Z4p is a CI-group; i.e., two Cayley graphs over the elementary abelian group Z4p are isomorphic if and only if their connecting sets are conjugate by an automorphism of the group Z4p.
M. Hirasaka, M. Muzychuk
semanticscholar   +1 more source

Coloring abelian groups

Discrete Mathematics, 1982
AbstractA sufficient (and necessary, if n=2) condition for the existence of a particular kind of n-coloring of an abelian group is given, and applied to show that (a) the real line is colorable with two colors so that the distance 1 is forbidden for one color, and the distance s>0 for the other, or so that both 1 and s are forbidden for both colors, if
openaire   +2 more sources