Results 81 to 90 of about 276,781 (279)

Bases in finite groups of small order

Karpatsʹkì Matematičnì Publìkacìï, 2021
A subset $B$ of a group $G$ is called a basis of $G$ if each element $g\in G$ can be written as $g=ab$ for some elements $a,b\in B$. The smallest cardinality $|B|$ of a basis $B\subseteq G$ is called the basis size of $G$ and is denoted by $r[G]$.
T.O. Banakh, V.M. Gavrylkiv
doaj   +1 more source

Monochrome Symmetric Subsets in Colorings of Finite Abelian Groups

Symmetry, 2011
A subset S of a group G is symmetric if there is an element g є G such that gS-1g = S. We study some Ramsey type functions for symmetric subsets in finite Abelian groups.
Y. Zelenyuk
semanticscholar   +1 more source

Factoring finite abelian groups

Journal of Algebra, 2004
Let \(S+T\) denote the Minkowski sum of the sets \(S\) and \(T\). Let \(G\) be a finite cyclic group with a factorization \(G=S_1\oplus S_2\oplus\cdots\oplus S_k\), where \(|S_i|\) is a prime or a product of two primes for all \(i\). The author shows that there is \(i\) such that \(S_i\) is periodic.
openaire   +1 more source

Residually rationally solvable one‐relator groups

Bulletin of the London Mathematical Society, EarlyView.
Abstract We show that the intersection of the rational derived series of a one‐relator group is rationally perfect and is normally generated by a single element. As a corollary, we characterise precisely when a one‐relator group is residually rationally solvable.
Marco Linton
wiley   +1 more source

On Groups with Extreme Centralizers and Normalizers [PDF]

Advances in Group Theory and Applications, 2016
An FCI-group is a group in which every non-normal cyclic subgroup has finite index in its centralizer and an FNI-group is one in which every non-normal subgroup has finite index in its normalizer.
Derek J.S. Robinson
doaj   +1 more source

On classification of groups of points on abelian varieties over finite fields [PDF]

, 2015
In this paper we improve our previous results on classification of groups of points on abelian varieties over finite fields. The classification is given in terms of the Weil polynomial of abelian varieties in a given $k$-isogeny class.Comment: 9 ...
Rybakov, Sergey
core  

Torsion classes of extended Dynkin quivers over commutative rings

Bulletin of the London Mathematical Society, EarlyView.
Abstract For a Noetherian R$R$‐algebra Λ$\Lambda$, there is a canonical inclusion torsΛ→∏p∈SpecRtors(κ(p)Λ)$\mathop {\mathsf {tors}}\Lambda \rightarrow \prod _{\mathfrak {p}\in \operatorname{Spec}R}\mathop {\mathsf {tors}}(\kappa (\mathfrak {p})\Lambda)$, and each element in the image satisfies a certain compatibility condition.
Osamu Iyama, Yuta Kimura
wiley   +1 more source

On Group Codes Over Elementary Abelian Groups

Sultan Qaboos University Journal for Science, 2003
For group codes over elementary Abelian groups we present definitions of the generator and the parity check matrices, which are matrices over the ring of endomorphism of the group.
Adnan A. Zain
doaj   +1 more source

ON EQUALITY OF ABSOLUTE CENTRAL AND CLASS PRESERVING AUTOMORPHISMS OF FINITE p-GROUPS [PDF]

Journal of Algebraic Systems, 2019
Let $G$ be a finite non-abelian $p$-group and $L(G)$ denotes the absolute center of $G$. Also, let $Aut^{L}(G)$ and $Aut_c(G)$ denote the group of all absolute central and the class preserving automorphisms of $G$, respectively.
Rasoul Soleimani
doaj   +1 more source

Radical preservation and the finitistic dimension

Bulletin of the London Mathematical Society, EarlyView.
Abstract We introduce the notion of radical preservation and prove that a radical‐preserving homomorphism of left artinian rings of finite projective dimension with superfluous kernel reflects the finiteness of the little finitistic, big finitistic, and global dimension.
Odysseas Giatagantzidis
wiley   +1 more source