Now showing items 1-20 of 23

• #### Action of a Frobenius-like group with fixed-point free kernel ﻿

(De Gruyter, 2014-02)
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 for all nonidentity elements h ∈ H. We prove that any irreducible nontrivial ...
• #### Action of a frobenius-like group with kernel having central derived subgroup ﻿

(World Scientific Publishing, 2016-09)
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 [F, h] = F for all nonidentity elements h is an element of H. Suppose that a finite ...
• #### Action of a Frobenius-likegroup ﻿

(Elsevier, 2014-03-15)
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 ...
• #### A combinatorial discussion on finite dimensional leavitt path algebras ﻿

Any finite dimensional semisimple algebra A over a field K is isomorphic to a direct sum of finite dimensional full matrix rings over suitable division rings. We shall consider the direct sum of finite dimensional full ...
• #### A combinatorial discussion on ﬁnite edimensional Leavitt path algebras ﻿

Any finite dimensional semisimple algebra A over a field K is isomorphic to a direct sum of finite dimensional full matrix rings over suitable division rings. We shall consider the direct sum of finite dimensional full ...
• #### 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 ...
• #### Erratum to action of a Frobenius-like group with fixed-point free kernel [J. Group Theory 17 (2014), 863–873] ﻿

After the article “Action of a Frobenius-like group with fixed-point free kernel” (https://dx.doi.org/10.1515/jgt-2014-0016) went to online publication, the authors noticed that they had included the incorrect abstract. ...
• #### Finite groups admitting a dihedral group of automorphisms ﻿

(Lugansk National Taras Shevchenko University, 2017)
Let D = alpha, beta be a dihedral group generated by the involutions alpha and beta and let F = alpha beta). Suppose that D acts on a finite group G by automorphisms in such a way that C-G(F)= 1. In the present paper we ...
• #### Fixed point free action on groups of odd order ﻿

(Elsevier, 2008-07-01)
Let A be a finite abelian group that acts fixed point freely on a finite (solvable) group G . Assume that |G| is odd and A is of squarefree exponent coprime to 6. We show that the Fitting length of G is bounded by the ...
• #### 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 ...
• #### 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 ...
• #### Generalized catalan numbers, sequences and polynomials ﻿

In this paper we present an algebraic interpretation for generalized Catalan numbers. We describe them as dimensions of certain subspaces of multilinear polynomials. This description is of utmost importance in the investigation ...
• #### 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 ...
• #### Groups of automorphisms with TNI-centralizers ﻿

A subgroup H of a finite group G is called a TNI-subgroup if NG(H)∩Hg=1 for any g∈G\NG(H). Let A be a group acting on G by automorphisms where CG(A) is a TNI-subgroup of G. We prove that G is solvable if and only if CG(A) ...
• #### The influence of Hughes type action ﻿

(Taylor & Francis, 2015)
We call the action of an automorphism of a finite group G a Hughes type action if it is described by conditions on the orders of elements of G-G. In the present paper we study the structure of finite group G admitting an ...
• #### 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 ...
• #### On the influence of fixed point free nilpotent automorphism groups ﻿

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 for all nonidentity elements . Let FH be a Frobenius-like group with complement H ...
• #### 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 ...
• #### 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 ...