On A Novel Group Derived From a Generalization of Integer Exponents and Open Problems

Oliver Von Shtawzen

University Of Nizwa, Sultanate Of Oman

Vonshtawzen1970abc@gmail.com

Abstract

 This paper is devoted to defining a new generalization of m-power closed groups by using some special mappings defined on a group (power maps). Also, a new group will be presented according to these mappings which will be related to other algebraic structures.

Keywords: Power map; m-power closed group; integer exponent; MA-group.