نتایج جستجو برای: conjugacy class
تعداد نتایج: 401635 فیلتر نتایج به سال:
A class function φ on a finite group G is said to be an order separator if, for every x and y in G\{1} , φ(x) = φ(y) is equivalent to x and y being of the same order. Similarly, φ is said to be a class-size separator if, for every x and y in G \ {1} , φ(x) = φ(y) is equivalent to |CG(x)| = |CG(y)| . In this paper, finite groups whose nonlinear irreducible complex characters are all order separa...
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...
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