Now showing items 1-10 of 23
Fixed-point free action of an abelian group of odd non-squarefree exponent
(Edinburgh Mathematical Society, 2011-02)
Let A be a finite group acting fixed-point freely on a finite (solvable) group G. A longstanding conjecture is that if (|G|, |A|) = 1, then the Fitting length of G is bounded by the length of the longest chain of subgroups ...
Rank and order of a finite group admitting a Frobenius-like group of automorphisms
A finite group FH is said to be Frobenius-like if it has a nontrivial nilpotent normal subgroup F with a nontrivial complement H such that FH/[F,F] is a Frobenius group with Frobenius kernel F/[F,F]. Suppose that a finite ...
Prof. Dr. Cemal Koç’un anısına armağan
(Doğuş Üniversitesi, 2010-07-15)
1943 yılında Bulgaristan, Kırcaali’de dünyaya gelen Cemal Koç. İlköğretimini Samsun’da 1953, Tokat İlk Öğretmen okulunu da, okul üçüncüsü olarak 1959 yılında tamamlayan Cemal Koç Ankara Yüksek Öğretmen okuluna aynı yıl ...
A generalized fixed point free automorphism of prime power order
(World Scientific Publishing, 2012-06)
Let G be a finite group and α be an automorphism of G of order pn for an odd prime p. Suppose that α acts fixed point freely on every α-invariant p′-section of G, and acts trivially or exceptionally on every elementary ...
A generalized fixed-point-free action
(World Scientific Publishing, 2013-05)
In this paper we study the structure of a finite group G admitting a solvable group A of automorphisms of coprime order so that for any x ∈ CG(A) of prime order or of order 4, every conjugate of x in G is also contained ...
Nilpotent length of a finite solvable group with a frobenius group of automorphisms
(Taylor & Francis, 2014-05-23)
We prove that a finite solvable group G admitting a Frobenius group FH of automorphisms of coprime order with kernel F and complement H such that [G, F] = G and C C G (F)(h) = 1 for all nonidentity elements h ∈ H, is of ...
Action of a Frobenius-likegroup
We call a finite group Frobenius-like if it has a nontrivial nilpotent normal subgroup F possessing a nontrivial complement H such that [F,h]=F[F,h]=F for all nonidentity elements h∈Hh∈H. We prove that any irreducible ...
Derived length of a Frobenius-like kernel
A finite group FH is said to be Frobenius-like if it has a nontrivial nilpotent normal subgroup F called kernel which has a nontrivial complement H such that FH/[F,F]FH/[F,F] is a Frobenius group with Frobenius kernel ...
Frobenius-like groups as groups of automorphisms
A finite group F H is said to be Frobenius-like if it has a nontrivial nilpotent normal subgroup F with a nontrivial complement H such that F H/[F, F] is a Frobenius group with Frobenius kernel F/[F, F]. Such subgroups and ...
Some sufficient conditions for the Taketa inequality
(The Japan Academy, 2013-10-15)
In this study we have obtained some sufficient conditions for the Taketa inequality namely dl(G)≤|cd(G)| for finite solvable groups G.