Results 41 to 50 of about 544 (187)
Context‐free graphs and their transition groups
Abstract Starting from context‐free inverse graphs, we introduce a new class of groups and study their structural properties. We establish closure properties, show that their coword problems are context‐free, analyze torsion elements, and realize them as subgroups of the asynchronous rational group.
Daniele D'Angeli +3 more
wiley +1 more source
Abelian number fields with frobenian conditions
Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
wiley +1 more source
The Maschke property for the Sylow $p$-sub-groups of the symmetric group $S_{p^n}$ [PDF]
In this paper we prove that the Maschke property holds for coprime actions on some important classes of $p$-groups like: metacyclic $p$-groups, $p$-groups of $p$-rank two for $p>3$ and some weaker property holds in the case of regular $p$-groups.
David Green +2 more
doaj +1 more source
Index of a Subgroup of an Abelian Group
An old result assigned to B. H. Neumann by \textit{L. Fuchs} [in Infinite Abelian groups. Vol. II (1973; Zbl 0257.20035)] states that if \(S_1,\dots,S_n\) are proper subgroups of an Abelian group \(A\) such that \(A=\bigcup_{i=1}^n(a_i+S_i)\) then one of the subgroups \(S_i\) is a finite index subgroup of \(A\). The author shows that (i) if \(n\geq 3\)
openaire +3 more sources
Characterizing subgroups of compact abelian groups
12 ...
DIKRANJAN, Dikran, KUNEN K.
openaire +4 more sources
Aggregation and the Structure of Value
ABSTRACT Roughly, the view I call “Additivism” sums up value across time and people. Given some standard assumptions, I show that Additivism follows from two principles. The first says that how lives align in time cannot, in itself, matter. The second says, roughly, that a world cannot be better unless it is better within some period or another.
Weng Kin San
wiley +1 more source
Free semigroups of large critical exponent
Abstract For a convergence group equipped with an expanding coarse‐cocycle, we construct finitely generated free subsemigroups, which we call Bishop−−Jonessemigroups$\textit{Bishop--Jones semigroups}$, of critical exponent arbitrarily close to but strictly less than the critical exponent of the ambient group.
Aleksander Skenderi
wiley +1 more source
Embedding of Abelian Subgroups in p-Groups [PDF]
Research concerning the embedding of abelian subgroups in p p -groups generally has proceeded in two directions; either considering abelian subgroups of small index (cf. J. L. Alperin, Large abelian subrgoups of p p -groups, Trans. Amer. Math. Soc. 117 (1965), 10-20) or considering elementary abelian subgroups of small
openaire +2 more sources
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Undecidability of the Theory of Abelian Groups with a Subgroup [PDF]
The theory of abelian groups with an additional predicate denoting a subgroup is undecidable.
openaire +1 more source

