Finite Group Theory Research

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• MURAT ALTUNBULAK

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• BUKET ÖZKAYA

Leibniz algebras are certain generalization of Lie algebras. In this paper we collect and prove some of the important results in Leibniz algebras which are analogs of corresponding results in Lie algebras. We highlight the differences between Leibniz algebras and Lie algebras through concrete examples. We define an an…

We consider the model theory of the real and complex fields with a multiplicative group having the Mann property. Among these groups are the finitely generated multiplicative groups in these fields. As a by-product we obtain some results on groups with the Mann property in rings of Witt vectors and in fields of positi…

• AYHAN GÜNAYDIN

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• FERRUH ÖZBUDAK

Let G =( V, E )b e as i mple graph with vertex set V (G )= {v1 ,v 2 ,..., vn} and edge set E(G). The Randic matrix R =( rij) of a graph G whose vertex vi has degree di is defined by rij =1 / � didj if the vertices vi and vj are adjacent and rij = 0 otherwise. The Randice nergyRE is the sum of absolute values of the ei…

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• ABDULLAH DERTLİ

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• İSMAİL AYDOĞDU

We construct exponentially large collections of pairwise distinct equisingular deformation families of irreducible plane curves sharing the same sets of singularities. The fundamental groups of all curves constructed are abelian.

Abstract Let us consider the finite monogenic semigroup S M with zero having elements { x , x 2 , x 3 , … , x n } . There exists an undirected graph Γ ( S M ) associated with S M whose vertices are the non-zero elements x , x 2 , x 3 , … , x n and, f or 1 ≤ i , j ≤ n , any two distinct vertices x i and x j are adjacen…

• NİHAT AKGÜNEŞ

Abstract Let us consider the finite monogenic semigroup S M with zero having elements { x , x 2 , x 3 , … , x n } . There exists an undirected graph Γ ( S M ) associated with S M whose vertices are the non-zero elements x , x 2 , x 3 , … , x n and, f or 1 ≤ i , j ≤ n , any two distinct vertices x i and x j are adjacen…

• AHMET SİNAN ÇEVİK