Anabanti, C.S. (Chimere)Asboei, A.K.2024-08-222024C.S. Anabanti & A.K. Asboei (2024): Two characterizations of the smallest non-solvable group, Communications in Algebra, vol. 52, no. 12, pp. 5138-5142, DOI: 10.1080/00927872.2024.2366379.0092-7872 (print)1532-4125 (online)10.1080/00927872.2024.2366379http://hdl.handle.net/2263/97797We introduce two invariants for finite groups, and use each to characterize A5.en© 2024 Taylor & Francis Group, LLC. This is an electronic version of an article published in Communications in Algebra, vol. 52, no. 12, pp. 5138-5142, 2024. doi : 10.1080/00927872.2024.2366379. Communications in Algebra is available online at : https://www.tandfonline.com/loi/lagb20.Finite groupsSolvable groupsSylow subgroupsNon-solvable groupsTwo characterizations of the smallest non-solvable groupPostprint Article