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Journal article

Finite groups in which some particular subgroups are TI-subgroups

By Shi, Jiangtao1; Zhang, Cui2,3

From

Yantai University1

Department of Applied Mathematics and Computer Science, Technical University of Denmark2

Algorithms and Logic, Department of Applied Mathematics and Computer Science, Technical University of Denmark3

We prove that G is a group in which all noncyclic subgroups are TI-subgroups if and only if all noncyclic subgroups of G are normal in G. Moreover, we classify groups in which all subgroups of even order are TI-subgroups.

Language: English
Year: 2013
Pages: 1037-1040
ISSN: 17872413 and 17872405
Types: Journal article
DOI: 10.18514/MMN.2013.785
Keywords

Noncyclic subgroup Normal Subgroup of even order TI-subgroup

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