On finite groups with exactly seven element centralizers

Ашрафи, Али Реза; Taeri, Bijan

doi:10.1007/bf02896488

Cited by 15 publications

(10 citation statements)

References 8 publications

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“…A group is a -group if ( ) is abelian for every ∈ \ ( ). Many authors have studied the influence of |Cent( )| on finite group (see [1][2][3][4][5][6][7][8][9]). It is clear that a group is 1-centralizer if and only if it is abelian.…”

Section: Introductionmentioning

confidence: 99%

On 10-Centralizer Groups of Odd Order

Foruzanfar

Mostaghim

2014

ISRN Algebra

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Section: Introductionmentioning

confidence: 99%

On 10-Centralizer Groups of Odd Order

Foruzanfar

Mostaghim

2014

ISRN Algebra

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“…In this section, we calculate | Cent(G) | under certain conditions on G. We generalize some of the results obtained in [1], [2], [3], [4], [6] and [8], and obtain some new characterizations of G.…”

Section: Generalizations Of Some Known Resultsmentioning

confidence: 82%

“…Starting with Belcastro and Sherman [6], many authors have studied the influence of | Cent(G) | on finite group G (see [1][2][3][4][5][6] and [15][16][17]). It is clear that a group is 1-centralizer if and only if it is abelian.…”

Section: Introductionmentioning

confidence: 99%

On finite groups with nine centralizers

Baishya

2016

Boll Unione Mat Ital

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“…Diudea was the first chemist who considered the problem of computing topological indices of nanostructures [14,15]. Ashrafi continued this pioneering work of Diudea [2,3]. In recent years, the problem of computing topological indices of nanostructures has attracted substantial attention from many researchers [9,11].…”

Section: Introductionmentioning

confidence: 99%

Computation of bond incident degree (BID) indices of complex structures in drugs

Liu

Baig

Imran

et al. 2020

Eurasian Chem. Commun.

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The molecular topological descriptors are the numerical invariants of a molecular graph and are very useful and efficient to predict their bioactivity. Dendrimers are highly branched organic macro-molecules with successive layers or generations of branch units surrounding a central core and have many applications in biology, medicine and drug designs. These are key molecules in nanotechnology and can be put to good use. A great variety of such indices are studied and used in theoretical chemistry and pharmaceutical researchers. Among them, a large number of indices depend only on vertex degrees of the molecular graph. A considerable amount of these vertex-degreebased topological indices can be represented as the sum of edge contributions of graph. These kind of vertex-degree-based topological indices are known as bond incident degree (BID) indices. In this paper, we determine the bond incident degree indices of complex structures in drugs called nanostar dendrimers and compute the closed formula for these indices. KEYWORDSMolecular structure descriptor; bond incident degree index; nanostar dendrimers; drug.

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On finite groups with exactly seven element centralizers

Cited by 15 publications

References 8 publications

On 10-Centralizer Groups of Odd Order

On 10-Centralizer Groups of Odd Order

On finite groups with nine centralizers

Computation of bond incident degree (BID) indices of complex structures in drugs

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