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Finite groups having nonnormal TI subgroups
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Date
2018-08-01
Author
Kızmaz, Muhammet Yasir
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In the present paper, the structure of a finite group G having a nonnormal T.I. subgroup H which is also a Hall pi-subgroup is studied. As a generalization of a result due to Gow, we prove that H is a Frobenius complement whenever G is pi-separable. This is achieved by obtaining the fact that Hall T.I. subgroups are conjugate in a finite group. We also prove two theorems about normal complements one of which generalizes a classical result of Frobenius.
Subject Keywords
Normal complement
,
Double Frobenius group
,
TI subgroup
,
Frobenius group
URI
https://hdl.handle.net/11511/51177
Journal
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION
DOI
https://doi.org/10.1142/s021819671850039x
Collections
Department of Mathematics, Article
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M. Y. Kızmaz, “Finite groups having nonnormal TI subgroups,”
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION
, pp. 905–914, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51177.