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Shahrooz
Shahrooz
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It is well-known that any finite $p$-group in which all its abelia subgroupsabelian subgroups are cyclic is either a cyclic group or a generalized quaterniinquaternion group.

What can be said about $p$-groups in which every normal abelian subgroup is cyclic?

It is well-known that any finite $p$-group in which all its abelia subgroups are cyclic is either a cyclic group or a generalized quaterniin group.

What can be said about $p$-groups in which every normal abelian subgroup is cyclic?

It is well-known that any finite $p$-group in which all its abelian subgroups are cyclic is either a cyclic group or a generalized quaternion group.

What can be said about $p$-groups in which every normal abelian subgroup is cyclic?

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Carlos Sáez
Carlos Sáez
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$p$-groups in which all normal abelian subgroups are cyclic

It is well-known that any finite $p$-group in which all its abelia subgroups are cyclic is either a cyclic group or a generalized quaterniin group.

What can be said about $p$-groups in which every normal abelian subgroup is cyclic?