Results 31 to 40 of about 119,916 (247)

Certain finite abelian groups with the Redei k-property [PDF]

International Journal of Group Theory, 2013
Three infinite families of finite abeliab groups will be described such that each members of these families has the Redei k-property for many non-trivial values of k.
Sandor Szabo
doaj  

Local nearrings on finite non-abelian $2$-generated $p$-groups

Karpatsʹkì Matematičnì Publìkacìï, 2020
It is proved that for ${p>2}$ every finite non-metacyclic $2$-generated p-group of nilpotency class $2$ with cyclic commutator subgroup is the additive group of a local nearring and in particular of a nearring with identity.
I.Yu. Raievska, M.Yu. Raievska
doaj   +1 more source

Finite Abelian Groups via Congruences

The American Mathematical Monthly, 2023
For every finite abelian group $G$, there are positive integers $n$ and $d$ such that $G$ is isomorphic to the multiplicative group of $d$-th powers of reduced residues modulo $n$.
openaire   +2 more sources

Torsion locally nilpotent groups with non-Dedekind norm of Abelian non-cyclic subgroups

Karpatsʹkì Matematičnì Publìkacìï, 2022
The authors study relations between the properties of torsion locally nilpotent groups and their norms of Abelian non-cyclic subgroups. The impact of the norm of Abelian non-cyclic subgroups on the properties of the group under the condition of norm non ...
T.D. Lukashova, M.G. Drushlyak
doaj   +1 more source

Annihilating Graph of Abelian Groups

پژوهش‌های ریاضی, 2021
In [18], the author associated a graph to an R -module M which is precisely a generalization of annihilating ideal graph of a commutative ring, see [15] and [16]. Inasmuch as Abelian groups are precisely Z-modules, in this paper we relate an annihilating
saeed safaeeyan, Soraya Barzegar
doaj  

Several Zagreb indices of power graphs of finite non-abelian groups

Heliyon, 2023
Molecular topology can be described by using topological indices. These are quantitative measures of the essential structural features of a proposed molecule calculated from its molecular structure.
Rashad Ismail, Fawad Ali, Rakhshanda Qasim, Muhammad Naeem, Wali K. Mashwani, Shahid Khan   +5 more
doaj   +1 more source

On a question of Jaikin-Zapirain about the average order elements of finite groups [PDF]

International Journal of Group Theory
For a finite group $G$, the average order $o(G)$ is defined to be the average of all order elements in $G$, that is $o( G)=\frac{1}{|G|}\sum_{x\in G}o(x)$, where $o(x)$ is the order of element $x$ in $G$.
Bijan Taeri, Ziba Tooshmalani
doaj   +1 more source

On determinability of idempotent medial commutative quasigroups by their endomorphism semigroups; pp. 81–87 [PDF]

Proceedings of the Estonian Academy of Sciences, 2011
We extend the result of P. Puusemp (Idempotents of the endomorphism semigroups of groups. Acta Comment. Univ. Tartuensis, 1975, 366, 76–104) about determinability of finite Abelian groups by their endomorphism semigroups to finite idempotent medial ...
Alar Leibak, Peeter Puusemp
doaj   +1 more source

The coarse classification of countable abelian groups [PDF]

, 2008
We prove that two countable locally finite-by-abelian groups G,H endowed with proper left-invariant metrics are coarsely equivalent if and only if their asymptotic dimensions coincide and the groups are either both finitely-generated or both are ...
Banakh, T., Higes, J., Zarichinyy, I.
core  

Limit groups and groups acting freely on R^n-trees

, 2004
We give a simple proof of the finite presentation of Sela's limit groups by using free actions on R^n-trees. We first prove that Sela's limit groups do have a free action on an R^n-tree.
Bass, Bourbaki, Brown, Chiswell, Chiswell, Gaglione, Gaglione, Kharlampovich, Kharlampovich, Lyndon, Paulin, Pfander, Urbański, Vincent Guirardel   +13 more
core   +1 more source