This study examines the same-order type of G, suppose G be a finite group that α(G)=S_tt∈πe(G) and define nse(G) or α(G) is whose S_t number elements order t t∈π_e (G) π_e set G. If |G|=n in then we say α_n-group. Shin [1] showed every α_2-group nilpotent α_3-group solvable. In addition, structure such proved if an α_n-group |π(G)|≤n, conjectures researcher nonabelian simple group. proves group...

We introduce a new language and system that allows security architects to develop well-structured and easy-to-maintain security policies for Java applications. In our system, policies are first-class objects. Consequently, programmers can define parameterized meta-policies that act as policy combinators and policy modifiers, so that complex security policies can be implemented by composing simp...

Recently we generalized the max algebra system to the class of nonnegative  tensors. In this paper we give some basic properties for the left (right) inverse, under the new system. The existence of order 2 left (right) inverse of tensors is characterized. Also we generalize the direct product of matrices to the direct product of tensors (of the same order, but may be different dimensions) and i...

Historically high levels of economic inequality likely have important consequences for relationships between people of the same and different social class backgrounds. Here, we test the prediction that social affiliation among same-class partners is stronger at the extremes of the class spectrum, given that these groups are highly distinctive and most separated from others by institutional and ...

Suppose that  is a finite group. Then the set of all prime divisors of  is denoted by  and the set of element orders of  is denoted by . Suppose that . Then the number of elements of order  in  is denoted by  and the sizes of the set of elements with the same order is denoted by ; that is, . In this paper, we prove that if  is a group such that , where , then . Here  denotes the family of Suzuk...