Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Finite groups in which any two abelian subgroups of the same order are conjugate
Download
056488.pdf
Date
1996
Author
Sezer, Sezgin
Metadata
Show full item record
Item Usage Stats
22
views
0
downloads
Cite This
Subject Keywords
Finite groups.
,
Abelian groups.
URI
https://hdl.handle.net/11511/1017
Collections
Graduate School of Natural and Applied Sciences, Thesis
Suggestions
OpenMETU
Core
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
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
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.