Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 10.54216/GJSMA https://www.americaspg.com/journals/show/1330 2022 2022 Under Solvable Groups as a Novel Generalization of Solvable Groups Department Of Mathematics, Tishreen University, Latakia, Syria Mohammad Abobala Department of Mathematics, Gaziantep University, Gaziantep, Turkey Mehmet Celik The objective of this paper is to define a new generalization of solvable groups by using the concept of power maps which generalize the classical concept of powers (exponents). Also, it presents many elementary properties of this new generalization in terms of theorems. 2022 2022 14 20 10.54216/GJMSA.020102 https://www.americaspg.com/articleinfo/33/show/1330