A Z-group is a (finite) group all of whose Sylow subgroups are cyclic. Such groups are metacyclic, supersolvable and monomial.
Every cyclic group is a Z-group, but the converse does not hold, as shown by these examples.
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- Last edited by David Roe on 2021-10-08 14:10:21
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- 2021-10-08 14:10:21 by David Roe (Reviewed)
- 2021-07-16 12:57:50 by Jennifer Paulhus
- 2019-05-23 20:03:26 by Tim Dokchitser