Ana-Loredana Agore, Dragoş Frăţilă
Abstract
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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.
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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.
Key concepts: Cyclic group, Extension (predicate logic), Group (periodic table), Product (mathematics), Mathematics, Pure mathematics, Computer science, Physics