A note on TI-subgroups of finite groups

Lu, Jiakuan; Pang, Linna

doi:10.1007/s12044-012-0055-x

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Mathematics Subject Classification: 20d101

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2012

2023

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Cited by 5 publications

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“…In [1], X. Guo, S. Li and P. Flavell classified finite groups all of whose abelian subgroups are TI-subgroups. As a generalization of [1], J. Lu and L. Pang [2] gave a description of finite groups all of whose non-abelian subgroups are TI-subgroups, they called such groups NATI-groups.…”

Section: Mathematics Subject Classification: 20d10mentioning

confidence: 99%

A remark on "A note on TI-subgroups of finite groups"

Zhang¹,

Meng²

2013

ija

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Indian Acad. Sci. (Math. Sci.) 122 (2012) 75-77.] proved that Theorem 2.4. Let G be a non-nilpotent NATI-group. Then one of the followings holds: (1) G = NH is a Frobenius group with a kernel N and a complement H, where N is the minimal normal subgroup of G and H is either a cyclic group or a product of Q 8 with a cyclic group of odd order. (2) Z(G) = 1, G is a quasi-Frobenius group with an abelian complement, and for any non-abelian subgroup H of G, H is normal in G, or H is a product of Q 8 with a cyclic group of odd order.

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Section: Mathematics Subject Classification: 20d10mentioning

confidence: 99%

A remark on "A note on TI-subgroups of finite groups"

Zhang¹,

Meng²

2013

ija

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“…In [1], Lu and Pang gave a description of groups in which every nonabelian subgroup is a TI-subgroup, they called such groups NATI-groups. In [3], we also obtained two different characterizations of groups in which every nonabelian subgroup is a TI-subgroup, we called such groups NTI-groups.…”

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confidence: 99%