Displaying similar documents to “A generalization of a theorem of A. D. Otto.”

Crossed product of cyclic groups

Ana-Loredana Agore, Dragoş Frățilă (2010)

Czechoslovak Mathematical Journal


All crossed products of two cyclic groups are explicitly described using generators and relations. A necessary and sufficient condition for an extension of a group by a group to be a cyclic group is given.

Factoring an odd abelian group by lacunary cyclic subsets

Sándor Szabó (2010)

Discussiones Mathematicae - General Algebra and Applications


It is a known result that if a finite abelian group of odd order is a direct product of lacunary cyclic subsets, then at least one of the factors must be a subgroup. The paper gives an elementary proof that does not rely on characters.