2008
DOI: 10.1016/j.jalgebra.2008.08.009
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Finite groups all of whose abelian subgroups are QTI-subgroups

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Cited by 7 publications
(1 citation statement)
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“…It can be shown that any TI-subgroup is a QTI-subgroup, but the converse is not true. In [8], G. Qian and F. Tang classify AQTI-groups and prove that if G is a p-group, then the properties of being TI, ATI and AQTI are equivalent in G. Groups all of whose cyclic subgroups are TI-subgroups are called CTI-groups. Clearly, any ATI-group is a CTI-group; however, the converse is not true.…”
Section: Introductionmentioning
confidence: 99%
“…It can be shown that any TI-subgroup is a QTI-subgroup, but the converse is not true. In [8], G. Qian and F. Tang classify AQTI-groups and prove that if G is a p-group, then the properties of being TI, ATI and AQTI are equivalent in G. Groups all of whose cyclic subgroups are TI-subgroups are called CTI-groups. Clearly, any ATI-group is a CTI-group; however, the converse is not true.…”
Section: Introductionmentioning
confidence: 99%