Finite groups in which any two abelian subgroups of the same order are conjugate

Download
056488.pdf
1996
Sezer, Sezgin
Show full item record
22
views
0
downloads
Finite groups., Abelian groups.
https://hdl.handle.net/11511/1017
Graduate School of Natural and Applied Sciences, Thesis

Suggestions

On the Schur indices of finite groups.
Sharary, Ahmad; Igeda, M. G.; Department of Mathematics (1981)
A characterization of the simple Group He.
Güloğlu, İsmail Şuayip; Asar, Ali Osman; Department of Physics (1979)
The Influence of some embedding properties of subgroups on the structure of a finite group
Kızmaz, Muhammet Yasir; Ercan, Gülin; Department of Mathematics (2018)
In a finite group $G$, a subgroup $H$ is called a $TI$-subgroup if $H$ intersects trivially with distinct conjugates of itself. Suppose that $H$ is a Hall $pi$-subgroup of $G$ which is also a $TI$-subgroup. A famous theorem of Frobenius states that $G$ has a normal $pi$-complement whenever $H$ is self normalizing. In this case, $H$ is called a Frobenius complement and $G$ is said to be a Frobenius group. A first main result in this thesis is the following generalization of Frobenius' Theorem. textbf{Theorem...
Locally finite groups and their subgroups with small centralizers
ERSOY, KIVANÇ; Kuzucuoğlu, Mahmut; Shunwatsky, Pavel (2017-07-01)
Let p be a prime and G a locally finite group containing an elementary abelian p-subgroup A of rank at least 3 such that C-G(A) is Chernikov and C-G(a) involves no infinite simple groups for any a is an element of A(#). We show that G is almost locally soluble (Theorem 1.1). The key step in the proof is the following characterization of PSLp(k): An infinite simple locally finite group G admits an elementary abelian p-group of automorphisms A such that C-G(A) is Chernikov and C-G(A) Keywords: involves no inf...
Finite groups having nonnormal TI subgroups
Kızmaz, Muhammet Yasir (2018-08-01)
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.
Citation Formats
S. Sezer, “Finite groups in which any two abelian subgroups of the same order are conjugate,” Ph.D. - Doctoral Program, Middle East Technical University, 1996.
METU IIS - Integrated Information Service open@metu.edu.tr