Automorphisms of finite cyclic group for generator of 2<b></b><b></b>

Source abstract

Generators are necessary to justify the creation of the automorphisms for finite cyclic q-group, where q is an odd prime. This study identifies generators of previously unclassified automorphism orders for 2-power cyclic groups. This research begins with an overview of cyclic groups and automorphisms, including the properties, to establish a solid foundation. By analysing the automorphisms, the generators are identified according to their specific order within the 2-power group and presented as the primary finding.