Let G be a finite group. Denote by psi (G) the sum psi(G) =Sigma (x is an element of G) |x|, where |x| denotes the order of the element x, and by o(G) the quotient o(G) =psi(G)/|G|. Confirming a conjecture posed by E.I. Khukhro, A. Moreto and M. Zarrin, we prove that if o(G) < o(A(5)), then G is solvable. (c) 2022 Elsevier Inc. All rights reserved
We prove the following two new criteria for the solvability of finite groups. Theorem 1. Let G be ...
We prove the following two new criteria for the solvability of finite groups. Theorem 1. Let G be ...
We prove the following two new criteria for the solvability of finite groups. Theorem 1. Let G be ...
Let G be a finite group. Denote by psi (G) the sum psi(G) =Sigma (x is an element of G) |x|, where |...
Let G be a finite group. Denote by psi (G) the sum psi(G) =Sigma (x is an element of G) |x|, where |...
Let G be a finite group. Denote by psi (G) the sum psi(G) =Sigma (x is an element of G) |x|, where |...
Let G be a finite group. Denote by psi (G) the sum psi(G) =Sigma (x is an element of G) |x|, where |...
Let G be a finite group. Denote by psi (G) the sum psi(G) =Sigma (x is an element of G) |x|, where |...
We prove the following two new criteria for the solvability of finite groups. Theorem 1. Let G be ...
We prove the following two new criteria for the solvability of finite groups. Theorem 1. Let G be ...
This paper is devoted to introduce a sufficient condition for the solvability of finite groups. Also...
Let $G$ be a finite group. We denote $psi(G)=sum_{gin G}o(g)$ where $o(g)$ denotes the order of $g i...
AbstractThe results of this paper are as follows: for a finite group G, if all primitive irreducible...
AbstractIn this note, we first give some examples to show that some hypotheses of some well-known re...
summary:Let $m>1$ be a fixed positive integer. In this paper, we consider finite groups each of whos...
We prove the following two new criteria for the solvability of finite groups. Theorem 1. Let G be ...
We prove the following two new criteria for the solvability of finite groups. Theorem 1. Let G be ...
We prove the following two new criteria for the solvability of finite groups. Theorem 1. Let G be ...
Let G be a finite group. Denote by psi (G) the sum psi(G) =Sigma (x is an element of G) |x|, where |...
Let G be a finite group. Denote by psi (G) the sum psi(G) =Sigma (x is an element of G) |x|, where |...
Let G be a finite group. Denote by psi (G) the sum psi(G) =Sigma (x is an element of G) |x|, where |...
Let G be a finite group. Denote by psi (G) the sum psi(G) =Sigma (x is an element of G) |x|, where |...
Let G be a finite group. Denote by psi (G) the sum psi(G) =Sigma (x is an element of G) |x|, where |...
We prove the following two new criteria for the solvability of finite groups. Theorem 1. Let G be ...
We prove the following two new criteria for the solvability of finite groups. Theorem 1. Let G be ...
This paper is devoted to introduce a sufficient condition for the solvability of finite groups. Also...
Let $G$ be a finite group. We denote $psi(G)=sum_{gin G}o(g)$ where $o(g)$ denotes the order of $g i...
AbstractThe results of this paper are as follows: for a finite group G, if all primitive irreducible...
AbstractIn this note, we first give some examples to show that some hypotheses of some well-known re...
summary:Let $m>1$ be a fixed positive integer. In this paper, we consider finite groups each of whos...
We prove the following two new criteria for the solvability of finite groups. Theorem 1. Let G be ...
We prove the following two new criteria for the solvability of finite groups. Theorem 1. Let G be ...
We prove the following two new criteria for the solvability of finite groups. Theorem 1. Let G be ...
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