Results 61 to 70 of about 228,669 (269)
On the Finite Groups that all Their Semi-Cayley Graphs are Quasi-Abelian [PDF]
Mathematics Interdisciplinary Research, 2018 In this paper, we prove that every semi-Cayley graph over a group G is quasi-abelian if and only if G is abelian.
Majid Arezoomand
doaj +1 more source
The integer group determinants for the non-abelian groups of order 18 [PDF]
arXiv, 2023 We obtain a complete description of the integer group determinants for the non-abelian groups of order 18.
arxiv
On the isomorphism problem for monoids of product‐one sequences
Bulletin of the London Mathematical Society, EarlyView.Abstract Let G1$G_1$ and G2$G_2$ be torsion groups. We prove that the monoids of product‐one sequences over G1$G_1$ and over G2$G_2$ are isomorphic if and only if the groups G1$G_1$ and G2$G_2$ are isomorphic. This was known before for abelian groups.
Alfred Geroldinger, Jun Seok Oh
wiley +1 more source
From free abelian groups to free abelian ℓ-groups
Mathematica Slovaca, 2011 Abstract For each n, the free abelian group F on countably many free generators will be equipped with a monoid P n making (F,P n) into the free n-generator abelian ℓ-group. This is a generalization of the main result of the second author, published in the J. Pure Appl.
MUNDICI, DANIELE, J. Kuehr
openaire +3 more sources
On Lev's periodicity conjecture
Bulletin of the London Mathematical Society, EarlyView.Abstract We classify the sum‐free subsets of F3n${\mathbb {F}}_3^n$ whose density exceeds 16$\frac{1}{6}$. This yields a resolution of Vsevolod Lev's periodicity conjecture, which asserts that if a sum‐free subset A⊆F3n${A\subseteq {\mathbb {F}}_3^n}$ is maximal with respect to inclusion and aperiodic (in the sense that there is no non‐zero vector v$v$
Christian Reiher
wiley +1 more source
On t-extensions of abelian groups [PDF]
, 2014 Let G and C be two discrete abelian groups. It is known that Pext(C,G) is a subgroup of Ext(C,G). In this paper, we introduce the t-extensions of G by C. We will show that the set of all t-extensions of G by C is a subgroup of Ext(C,G) which contains Pext(C,G).
Aliakbar Alijani, Hossein Sahleh
openaire +2 more sources
Strong Reflexivity of Abelian Groups [PDF]
Czechoslovak Mathematical Journal, 2001 A reflexive topological group G is called strongly reflexive if each closed sub-group and each Hausdorff quotient of the group G and of its dual group is reflexive. In this paper we establish the adequate concept of strong reflexivity for convergence groups and we prove that the product of countable many locally compact topological groups and ...
Bruguera Padró, Maria Montserrat +1 more
openaire +3 more sources
Discrete subgroups of normed spaces are free
Bulletin of the London Mathematical Society, EarlyView.Abstract Ancel, Dobrowolski and Grabowski (Studia Math. 109 (1994): 277–290) proved that every countable discrete subgroup of the additive group of a normed space is free Abelian, hence isomorphic to the direct sum of a certain number of copies of the additive group of the integers.
Tomasz Kania, Ziemowit Kostana
wiley +1 more source
Characterizing automorphism groups of ordered abelian groups [PDF]
arXiv, 2001 We characterize the groups isomorphic to full automorphism groups of ordered abelian groups. The result will follow from classical theorems on ordered groups adding an argument from proofs used to realize rings as endomorphism rings of abelian groups.
arxiv
Preservation for generation along the structure morphism of coherent algebras over a scheme
Bulletin of the London Mathematical Society, EarlyView.Abstract This work demonstrates classical generation is preserved by the derived pushforward along the structure morphism of a noncommutative coherent algebra to its underlying scheme. Additionally, we establish that the Krull dimension of a variety over a field is a lower bound for the Rouquier dimension of the bounded derived category associated with
Anirban Bhaduri, Souvik Dey, Pat Lank
wiley +1 more source