Twisted cyclic groups
Rendiconti del Seminario Matematico della Università di Padova, Tome 141 (2019), pp. 143-154.
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A finite group G is said to be twisted cyclic if there exist ϕAut(G) and xG such that G={(x i )ϕ j :i,j}. In this note, we classify all groups satisfying this property and determine that, if a finite group G is twisted cyclic, then G is isomorphic to p n , p × p ×× p , Q 8 , p n × p n or direct products of these groups for some prime p and some n + .

Publié le :
DOI : 10.4171/RSMUP/18
Classification : 20, 00
Mots-clés : Cyclic groups, automorphisms, twisted cyclic
Flowers, Neil 1 ; Wakefield, Thomas 1

1 Youngstown State University, USA
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     title = {Twisted cyclic groups},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {143--154},
     publisher = {European Mathematical Society Publishing House},
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Flowers, Neil; Wakefield, Thomas. Twisted cyclic groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 141 (2019), pp. 143-154. doi : 10.4171/RSMUP/18. http://www.numdam.org/articles/10.4171/RSMUP/18/

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