A finite group is said to be twisted cyclic if there exist and such that . In this note, we classify all groups satisfying this property and determine that, if a finite group is twisted cyclic, then is isomorphic to , , , or direct products of these groups for some prime and some .
Cite this article
Neil Flowers, Thomas P. Wakefield, Twisted cyclic groups. Rend. Sem. Mat. Univ. Padova 141 (2019), pp. 143–154DOI 10.4171/RSMUP/18