The fitting length of finite groups admitting an automorphism of prime order

Abu Joukha, Jaber H H


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...
The effect of component interactions on the structural and functional properties of legume extrudates
Doğan, Hülya; Katnaş, Zeynep; Bayındırlı, Alev; Department of Food Engineering (2000)
Şahin, Serpil (Elsevier BV, 1993-01-01)
Filtration rate and resistance are affected by the operations prior to filtration in fruit juice production lines. In this research, the effects of depectinization and clarification on filtration resistance and rate were evaluated. Filtration studies on raw juice, depectinized juice and depectinized plus clarified juice were compared It was observed that pretreatments reduce the resistance considerably.
On the nilpotent length of a finite group with a frobenius group of automorphisms
Öğüt, Elif; Ercan, Gülin; Güloğlu, İsmail Ş.; Department of Mathematics (2013)
Let G be a finite group admitting a Frobenius group FH of automorphisms with kernel F and complement H. Assume that the order of G and FH are relatively prime and H acts regularly on the fixed point subgroup of F in G. It is proved in this thesis that the nilpotent length of G is less than or equal to the sum of the nilpotent length of the commutator group of G and F with 1 and the nilpotent length of the commutator group of G and F is equal to the nilpotent length of the fixed point subgroup of H in the co...
The impact of UV-C irradiation on spoilage microorganisms and colour of orange juice
Taze, Bengi Hakguder; Unluturk, Sevcan; Buzrul, Sencer; Alpas, Hami (Springer Science and Business Media LLC, 2015-02-01)
The effect of UV-C irradiation on inactivation of spoilage microorganisms and colour of freshly squeezed orange juice were investigated. Orange juice samples were intentionally fermented in order to increase the natural microflora which were mostly composed of yeasts and then exposed to UV-C irradiation at an intensity level of 1.32 mW/cm(2) and sample depth of 0.153 cm for several exposure times by using a collimated beam apparatus. Applied UV dose was in the range of 0 and 108.42 mJ/cm(2). Resistance of y...
Citation Formats
J. H. H. Abu Joukha, “The fitting length of finite groups admitting an automorphism of prime order,” Ph.D. - Doctoral Program, Middle East Technical University, 1990.