Results 41 to 50 of about 6,156 (235)
Isolated subgroups of finite abelian groups [PDF]
, 2022 summary:We say that a subgroup $H$ is isolated in a group $G$ if for every $x\in G$ we have either $x\in H$ or $\langle x\rangle \cap H=1$. We describe the set of isolated subgroups of a finite abelian group. The technique used is based on an interesting
Tărnăuceanu, Marius
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Formal duality in finite abelian groups [PDF]
Journal of Combinatorial Theory, Series A, 2019 some corrections to version 2, Table A.1 ...
Shuxing Li +2 more
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Groups with a Strongly Embedded Subgroup Saturated with Finite Simple Non-abelian Groups
Известия Иркутского государственного университета: Серия "Математика", 2020 An important concept in the theory of finite groups is the concept of a strongly embedded subgroup. The fundamental result on the structure of finite groups with a strongly embedded subgroup belongs to M. Suzuki.
A.A. Shlepkin
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Partitions of Finite Abelian Groups
European Journal of Combinatorics, 1986 A collection of subgroups \(G_ 1,G_ 2,...,G_ n\) of a group G constitutes a partition of G if every non-zero element of G is in one and only one of the groups \(G_ 1,G_ 2,...,G_ n\). We shall give conditions on the existence of partitions that consist of \(n_ i\) groups of order \(q_ i\), \(i=1,2,...,k\) and where \(q_ ...
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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
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Computing the structure of a finite abelian group [PDF]
Mathematics of Computation, 2005 We present an algorithm that computes the structure of a finite abelian group G G from a generating system
Johannes Buchmann 0001, Arthur Schmidt
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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
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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
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Centralisers of finite subgroups in soluble groups of type FPn
, 2009 We show that for soluble groups of type FPn , centralisers of finite subgroups need not be of type ...
Martínez-Pérez, Conchita +5 more
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On a question of Jaikin-Zapirain about the average order elements of finite groups [PDF]
International Journal of Group TheoryFor 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
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