Results 61 to 70 of about 49,915 (165)
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source
Finite frattini factors in finitely generated Abelian-by-polycyclic groups [PDF]
A criterion for a group to be finite is used to prove that subgroups of finitely generated Abelian-by-polycyclic groups are finite if their Frattini factor groups are finite.
openaire +2 more sources
Relative Vertex-Source-Pairs of Modules of and Idempotent Morita Equivalences of Rings
Here all rings have identities. Let R be a ring and let R-mod denote the additive category of left finitely generated R-modules. Note that if R is a noetherian ring, then R-mod is an abelian category and every R-module is a finite direct sum of ...
Morton E. Harris
doaj +1 more source
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
wiley +1 more source
Solving the n $n$‐Player Tullock Contest
ABSTRACT The n $n$‐player Tullock contest with complete information is known to admit explicit solutions in special cases, such as (i) homogeneous valuations, (ii) constant returns, and (iii) two contestants. But can the model be solved more generally?
Christian Ewerhart
wiley +1 more source
Non‐amenability of mapping class groups of infinite‐type surfaces and graphs
Abstract This paper completely determines the non‐amenability of the mapping class groups of infinite‐type surfaces, the mapping class groups of locally finite infinite graphs of higher ranks, gives an example of non‐amenable stabiliser of a point at infinity of a coarsely bounded generated hyperbolic Polish group, and exhibits a class of mapping class
Yusen Long
wiley +1 more source
On polygonal products of finitely generated abelian groups [PDF]
We prove that a polygonal product of polycyclic-by-finite groups amalgamating subgroups, with trivial intersections, is cyclic subgroup separable (hence, it is residually finite) if the amalgamated subgroups are contained in the centres of the vertex groups containing them.
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Lattice-ordered abelian groups finitely generated as semirings [PDF]
Comment: 16 pages; revised and slightly extended ...
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Uniform finite presentation for groups of polynomial growth
Uniform finite presentation for groups of polynomial growth, Discrete Analysis 2025:1, 29 pp. Let $G$ be a finitely generated infinite group with generators $a_1,\dots,a_k$. The _ball of radius_ $r$ in $G$ is defined to be the set of all elements of $G$
Philip Easo, Tom Hutchcroft
doaj +1 more source
Reconstructing a set from its subset sums: $2$-torsion-free groups
A famous conjecture in graph theory, asked by Kelly (1957) and Ulam (1960) and now known as the reconstruction conjecture, states that every graph with $n\geq 3$ vertices is determined up to isomorphism by the multiset of induced subgraphs with $n-1 ...
Federico Glaudo, Noah Kravitz
doaj +1 more source

