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A note on finite groups with few TI-subgroups
International Electronic Journal of Algebra
In [Comm. Algebra, 43(2015) , , finite groups all of whose metacyclic subgroups are TI-subgroups have been classified by S. Li, Z. Shen and N. Du. In this note we investigate a finite group all of whose non-metacyclic subgroups are TI-subgroups. We prove that G is a group all of whose non-metacyclic subgroups are TI-subgroups if and only if all nonmetacyclic subgroups of G are normal. Furthermore, we show that a group all of whosedoi:10.24330/ieja.373640 fatcat:vsevagewbvdtrjuybur4er74pq