Now showing items 11-16 of 16
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” (http://dx.doi.org/10.1515/jgt-2014-0016) went to online publication, the authors noticed that they had included the incorrect abstract. The ...
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 ...
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 ...
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 ...
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 ...
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) ...