A characterization of the simple Group He.

Güloğlu, İsmail Şuayip


On the Schur indices of finite groups.
Sharary, Ahmad; Igeda, M. G.; Department of Mathematics (1981)
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...
Description of Barely Transitive Groups with Soluble Point Stabilizer
Betin, Cansu; Kuzucuoğlu, Mahmut (Informa UK Limited, 2009-6-4)
We describe the barely transitive groups with abelian-by-finite, nilpotent-by-finite and soluble-by-finite point stabilizer. In article [6] Hartley asked whether there is a torsionfree barely transitive group. One consequence of our results is that there is no torsionfree barely transitive group whose point stabilizer is nilpotent. Moreover, we show that if the stabilizer of a point is a permutable subgroup of an infinitely generated barely transitive group G, then G is locally finite.
The mapping class group is generated by two commutators
Baykur, R. Inanc; Korkmaz, Mustafa (2021-05-01)
We show that the mapping class group of any closed connected orientable surface of genus at least five is generated by only two commutators, and if the genus is three or four, by three commutators. (C) 2021 Elsevier Inc. All rights reserved.
The fitting length of finite groups admitting an automorphism of prime order
Abu Joukha, Jaber H H; Güloğlu, İsmail Ş.; Department of Mathematics (1990)
Citation Formats
İ. Ş. Güloğlu, “A characterization of the simple Group He.,” Ph.D. - Doctoral Program, Middle East Technical University, 1979.