Abstract:
We obtain a new classification of the finite metacyclic groups in
terms of group invariants. We present an algorithm to compute these
invariants, and hence to decide if two given finite metacyclic
groups are isomorphic, and another algorithm which computes all the
metacyclic groups of a given order. A GAP implementation of these
algorithms is given.
Key Words: Finite groups, metacyclic groups.
2020 Mathematics Subject Classification: Primary
20E99; Secondary 20D10.
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