Add to ORKGIn this article we introduce and study two classes of finite groups for which the orders of their subgroups satisfy a certain inequality. These are closely connected to some well-known arithmetic classes of natural numbers. MSC2000: Primary 20D60, 20D30; Secondary 11A25, 11A99. Key words: finite groups, subgroup lattices, number of subgroups, deficien
AbstractFor a finite groupG, letk(G) denote the number of conjugacy classes ofG. We prove that a sim...
For any group G, πe(G) denotes the set of orders of its elements. If Ω is a subset of positive integ...
summary:Counting subgroups of finite groups is one of the most important topics in finite group theo...
In this article, we introduce and study two classes of finite groups for which the orders of their s...
In this article, we introduce and study two classes of finite groups for which the orders of their s...
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...
Let G be a finite group. The function ω()={() : ∈} assigns to G the set of orders of all elements...
AbstractWe characterize the pairs (K,n),Ka field,na positive integer, for which there is a bound on ...
Search of arithmetical properties that determine a finite group uniquely. Among arithmetical propert...
General results are provided on bounding the number of different prime factors of the order of finit...
Abstract. For any group G, pie(G) denotes the set of orders of its elements. If Ω is a non-empty sub...
Abstract. In this note we are going to survey several invariants of finite groups related either to ...
AbstractFor a finite groupG, letk(G) denote the number of conjugacy classes ofG. We prove that a sim...
For any group G, πe(G) denotes the set of orders of its elements. If Ω is a subset of positive integ...
summary:Counting subgroups of finite groups is one of the most important topics in finite group theo...
In this article, we introduce and study two classes of finite groups for which the orders of their s...
In this article, we introduce and study two classes of finite groups for which the orders of their s...
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...
Let G be a finite group. The function ω()={() : ∈} assigns to G the set of orders of all elements...
AbstractWe characterize the pairs (K,n),Ka field,na positive integer, for which there is a bound on ...
Search of arithmetical properties that determine a finite group uniquely. Among arithmetical propert...
General results are provided on bounding the number of different prime factors of the order of finit...
Abstract. For any group G, pie(G) denotes the set of orders of its elements. If Ω is a non-empty sub...
Abstract. In this note we are going to survey several invariants of finite groups related either to ...
AbstractFor a finite groupG, letk(G) denote the number of conjugacy classes ofG. We prove that a sim...
For any group G, πe(G) denotes the set of orders of its elements. If Ω is a subset of positive integ...
summary:Counting subgroups of finite groups is one of the most important topics in finite group theo...