نتایج جستجو برای: element orders
تعداد نتایج: 258801 فیلتر نتایج به سال:
let $g$ be a finite group. we denote by $psi(g)$ the integer $sum_{gin g}o(g)$, where $o(g)$ denotes the order of $g in g$. here we show that $psi(a_5)< psi(g)$ for every non-simple group $g$ of order $60$, where $a_5$ is the alternating group of degree $5$. also we prove that $psi(psl(2,7))
let $g$ be a finite group. we denote by $psi(g)$ the integer $sum_{gin g}o(g)$, where $o(g)$ denotes the order of $g in g$. here we show that $psi(a_5)< psi(g)$ for every non-simple group $g$ of order $60$, where $a_5$ is the alternating group of degree $5$. also we prove that $psi(psl(2,7))
in this paper, it is proved that all simple $k_4$-groups of type $l_2(q)$ can be characterized by their maximum element orders together with their orders. furthermore, the automorphism groups of simple $k_4$-groups of type $l_2(q)$ are also considered.
In this paper, it is proved that all simple $K_4$-groups of type $L_2(q)$ can be characterized by their maximum element orders together with their orders. Furthermore, the automorphism groups of simple $K_4$-groups of type $L_2(q)$ are also considered.
We characterize the finite simple groups $L_2(q)$ by the group orders and the largest element orders, where $q$ is a prime or $q=2^a$, with $2^a+1$ or $2^a-1$ a prime.
Let G be a finite p-group and let Aut_l(G) be the group of absolute central automorphisms of G. In this paper we give necessary and sufficient condition on G such that each absolute central automorphism of G fixes the centre element-wise. Also we classify all groups of orders p^3 and p^4 whose absolute central automorphisms fix the centre element-wise.
in this paper we show that if q is a power of a prime p , then the projective special linear group psl(2, q) and the stabilizer of a point of the projective line have maximum sum element orders among all proper subgroups of projective general linear group pgl(2, q) for q odd and even respectively
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