Groups with locally cyclic abelian subgroups
Groups with locally cyclic abelian subgroups
Summary: A group \(G\) such that all its Abelian subgroups are locally cyclic, we call a \(\gamma\)-group. The structure of a \(\gamma\)-group is completely determined when it is a finite group, a locally finite Frobenius group or a 2-finite \(p\)-group. We introduce and study other classes of \(\gamma\)-groups, which are locally finite, which satisfy the maximal or minimal condition, etc.
- University of Milan Italy
minimal condition, \(\gamma\)-groups, Chains and lattices of subgroups, subnormal subgroups, locally finite Frobenius group, Periodic groups; locally finite groups, Local properties of groups, locally cyclic Abelian subgroups, 2-finite \(p\)-groups, locally cyclic
minimal condition, \(\gamma\)-groups, Chains and lattices of subgroups, subnormal subgroups, locally finite Frobenius group, Periodic groups; locally finite groups, Local properties of groups, locally cyclic Abelian subgroups, 2-finite \(p\)-groups, locally cyclic
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