Add to ORKGFor any group G, πe(G) denotes the set of orders of its elements. If Ω is a subset of positive integers, h(Ω) stands for the number of distinct isomorphism classes of finite groups G such that πe(G) = Ω. Let Ω = πe(PGL(2, p)), where p is a prime number and 5 ≤ p < 100. In this paper, we prove that h(Ω) ∈ {1,∞}. Mathematics Subject Classification: 20D0
Let $G$ be a finite group and $pi_{e}(G)$ be the set of element orders of $G $. Let $k in pi_{e}(G)$...
It is proved that up to isomorphism there are only two finite groups with the same set of element or...
summary:Let $G$ be a finite group and $p$ a prime number. We prove that if $G$ is a finite group of ...
Abstract. For any group G, pie(G) denotes the set of orders of its elements. If Ω is a non-empty sub...
Let G be a finite group and pi_{e}(G) be the set of element orders of G. Let k in pi_{e}(G) and m_{k...
Let G be a finite group and pi_{e}(G) be the set of element orders of G. Let k in pi_{e}(G)$ and m_{...
summary:Let $G$ be a finite group and let $\pi(G)=\{p_1, p_2,\ldots, p_k\}$ be the set of prime divi...
summary:Let $G$ be a finite group and let $\pi(G)=\{p_1, p_2,\ldots, p_k\}$ be the set of prime divi...
summary:Let $G$ be a finite group and let $\pi(G)=\{p_1, p_2,\ldots, p_k\}$ be the set of prime divi...
Let G be a finite group. The function ω()={() : ∈} assigns to G the set of orders of all elements...
Let G be a finite group. The function ω()={() : ∈} assigns to G the set of orders of all elements...
Let G be a finite group. The function ω()={() : ∈} assigns to G the set of orders of all elements...
Let G be a finite group. The function ω()={() : ∈} assigns to G the set of orders of all elements...
AbstractWe show that the simple groups PSL(2, q), q ≠ 9, are characterized by their element orders
Let G be a finite group. The function ω()={() : ∈} assigns to G the set of orders of all elements...
Let $G$ be a finite group and $pi_{e}(G)$ be the set of element orders of $G $. Let $k in pi_{e}(G)$...
It is proved that up to isomorphism there are only two finite groups with the same set of element or...
summary:Let $G$ be a finite group and $p$ a prime number. We prove that if $G$ is a finite group of ...
Abstract. For any group G, pie(G) denotes the set of orders of its elements. If Ω is a non-empty sub...
Let G be a finite group and pi_{e}(G) be the set of element orders of G. Let k in pi_{e}(G) and m_{k...
Let G be a finite group and pi_{e}(G) be the set of element orders of G. Let k in pi_{e}(G)$ and m_{...
summary:Let $G$ be a finite group and let $\pi(G)=\{p_1, p_2,\ldots, p_k\}$ be the set of prime divi...
summary:Let $G$ be a finite group and let $\pi(G)=\{p_1, p_2,\ldots, p_k\}$ be the set of prime divi...
summary:Let $G$ be a finite group and let $\pi(G)=\{p_1, p_2,\ldots, p_k\}$ be the set of prime divi...
Let G be a finite group. The function ω()={() : ∈} assigns to G the set of orders of all elements...
Let G be a finite group. The function ω()={() : ∈} assigns to G the set of orders of all elements...
Let G be a finite group. The function ω()={() : ∈} assigns to G the set of orders of all elements...
Let G be a finite group. The function ω()={() : ∈} assigns to G the set of orders of all elements...
AbstractWe show that the simple groups PSL(2, q), q ≠ 9, are characterized by their element orders
Let G be a finite group. The function ω()={() : ∈} assigns to G the set of orders of all elements...
Let $G$ be a finite group and $pi_{e}(G)$ be the set of element orders of $G $. Let $k in pi_{e}(G)$...
It is proved that up to isomorphism there are only two finite groups with the same set of element or...
summary:Let $G$ be a finite group and $p$ a prime number. We prove that if $G$ is a finite group of ...