نتایج جستجو برای: conjugacy class size
تعداد نتایج: 934912 فیلتر نتایج به سال:
In earlier work it was shown that each nonabelian finite simple group G has a conjugacy class C such that, whenever 1 = x ∈G, the probability is greater than 1/10 that G= 〈x, y〉 for a random y ∈ C. Much stronger asymptotic results were also proved. Here we show that, allowing equality, the bound 1/10 can be replaced by 13/42; and, excluding an explicitly listed set of simple groups, the bound 2...
the divisibility graph $mathscr{d}(g)$ for a finite group $g$ is a graph with vertex set ${rm cs}(g)setminus{1}$ where ${rm cs}(g)$ is the set of conjugacy class sizes of $g$. two vertices $a$ and $b$ are adjacent whenever $a$ divides $b$ or $b$ divides $a$. in this paper we will find the number of connected components of $mathscr{d}(g)$ where $g$ is a simple zassenhaus group or an sp...
This paper arose out of an attempt to generalize the q; q−1-basis for the centre of an Iwahori–Hecke algebra Hq found by Jones to q; q−1 and to other types. Considering the Iwahori–Hecke algebra H over a subring ξ of q1/2; q−1/2, where ξ = q1/2 − q−1/2, we use a new and natural definition of positivity on H to describe the “minimal” ξ-basis for ZH in terms of a partial order on the ...
A one-sided (resp. two-sided) shift of finite type of dimension one can be described as the set of infinite (resp. bi-infinite) sequences of consecutive edges in a finite-state automaton. While the conjugacy of shifts of finite type is decidable for one-sided shifts of finite type of dimension one, the result is unknown in the two-sided case. In this paper, we study the shifts of finite type de...
A one-sided (resp. two-sided) shift of finite type of dimension one can be described as the set of infinite (resp. bi-infinite) sequences of consecutive edges in a finite-state automaton. While the conjugacy of shifts of finite type is decidable for one-sided shifts of finite type of dimension one, the result is unknown in the two-sided case. In this paper, we study the shifts of finite type de...
The simplest nonsingular flows on closed orientable 3-manifolds are studied. We establish that each class of topological equivalence the flow a lens consists an infinite set conjugacy classes. obtain necessary and sufficient conditions for under consideration.
Let G be a finite group and Z(G) be the center of G. For a subset A of G, we define kG(A), the number of conjugacy classes of G that intersect A non-trivially. In this paper, we verify the structure of all finite groups G which satisfy the property kG(G-Z(G))=5, and classify them.
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