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ON SIMPLE Kn–GROUPS FOR n = 5, 6
A finite nonabelian simple group is called a simple Kn–group, if the order of G has
exactly n distinct prime factors. M. Herzog and W.J. Shi gave a characterization
of simple Kn–group for n = 3, 4, respectively. ...
NON-VANISHING ELEMENTS AND ZEROS OF CHARACTERS OF FINITE GROUPS: A REVIEW
Let G be a finite group. A well-known result of W. Burnside
tells us that, for any nonlinear irreducible character χ of G, there exists
an element g ∈ G such that χ(g) = 0. In this paper, first we investigate ...
ON M-GROUPS AND THEIR SUBGROUPS: A REVIEW
A finite group G is called an M-group, if all its complex irreducible
characters are monomial; that is, they are induced by a linear
character of a subgroup of G. It is known that a quotient of an ...
The Commuting Graph of Finite Groups
The commuting graph of a group G, denoted by \\\\\\\\Gamma(G), is a simple graph whose vertices are all non-central elements of G and two distinct vertices x,y are adjacent if xy=yx.
Perfect Lattice Paths in the Plane
Consider an $m\\times n$ table $T$ and latices paths $\\nu_1,\\ldots,\\nu_k$ in $T$ such that each step $\\nu_{i+1}-\\nu_i=(1,1)$, $(1,0)$ or $(1,-1)$. The number of paths from the $(1,i)$-cell (resp. first column) ...
CHARACTERIZATION OF FINITE GROUPS BY THEIR COMMUTING GRAPH
The commuting graph of a group G, denoted by Γ( G ), is a
simple graph whose vertices are all non-central elements of G and two distinct vertices x, y are adjacent if xy = yx . It is conjectured that if M
is ...
On the commuting graph associated with the symmetric and alternating groups
The commuting graph of a group G, denote d by Γ( G), is a simple
undirected graph whose vertices are all non-central elements of G and two
distinct vertices x, y are adjacent if xy = y x. The commuting graph ...
درجه جابه جایی تانسوری یک زوج از گروههای متناهی
در این مقاله، درجه جابه جایی تانسوری یک زوج از گروههای متناهی را مورد بررسی قرار دادهایم. با توجه به این که درجه جابه جایی نسبی توسط Erdos معرفی شده و خواص آن مورد بررسی قرار گرفته است، بعد از آن آقای دکتر نیرومند به معرفی ...
On cyclic graphs of finite semigroups
In this paper, we define and study the cyclic graph Γ_S of a finite semigroup S. We obtain
some graph theoretical properties of Γ_S including its dominating number, independence
number and genus of the graph. ...