Results 91 to 100 of about 72,032 (249)

Critical sets in the elementary abelian 2- and 3- groups

, 2004
In 1998, Khodkar showed that the minimal critical set in the Latin square corresponding to the elementary abelian 2-group of order 16 is of size at most 124.
Bean, Richard
core  

Residually nilpotent groups of homological dimension 1

Bulletin of the London Mathematical Society, EarlyView.
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

Sum structures in abelian groups

Examples and Counterexamples, 2023
Any set S of elements from an abelian group produces a graph with colored edges G(S), with its points the elements of S, and the edge between points P and Q assigned for its “color” the sum P+Q.
Robert Haas
doaj  

Topology on the spectrum of the algebra of entire symmetric functions of bounded type on the complex $L_\infty$

Karpatsʹkì Matematičnì Publìkacìï, 2017
It is known that the so-called elementary symmetric polynomials $R_n(x) = \int_{[0,1]}(x(t))^n\,dt$ form an algebraic basis in the algebra of all symmetric continuous polynomials on the complex Banach space $L_\infty,$ which is dense in the Fr\'{e}chet ...
T.V. Vasylyshyn
doaj   +1 more source

On the structure of the Witt group of braided fusion categories [PDF]

, 2011
We analyze the structure of the Witt group W of braided fusion categories introduced in the previous paper arXiv:1009.2117v2. We define a "super" version of the categorical Witt group, namely, the group sW of slightly degenerate braided fusion categories.
Davydov, Alexei, Nikshych, Dmitri, Ostrik, Victor   +2 more
core  

Regular subgroups with large intersection

, 2018
In this paper we study the relationships between the elementary abelian regular subgroups and the Sylow $2$-subgroups of their normalisers in the symmetric group $\mathrm{Sym}(\mathbb{F}_2^n)$, in view of the interest that they have recently raised for ...
Aragona, Riccardo, Civino, Roberto, Gavioli, Norberto, Scoppola, Carlo Maria   +3 more
core   +1 more source

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

The Automorphism Tower of Groups acting on Rooted Trees

, 2006
The group of isometries W of a regular rooted tree, and many of its subgroups with branching structure, have groups of automorphisms induced by conjugation in W.
Bartholdi, Laurent, Sidki, Said N.
core   +1 more source

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 Parametrization of the Linear GL(4,C) and Unitary SU(4) Groups in Terms of Dirac Matrices

Symmetry, Integrability and Geometry: Methods and Applications, 2008
Parametrization of 4 × 4-matrices G of the complex linear group GL(4,C) in terms of four complex 4-vector parameters (k,m,n,l) is investigated. Additional restrictions separating some subgroups of GL(4,C) are given explicitly.
Natalia G. Tokarevskaya, Andrei A. Bogush, Victor M. Red'kov   +2 more
doaj   +1 more source