arXiv subjects

Tuba Çakmak

Publications and source records attributed to Tuba Çakmak.

3 recordsLinked to original sources

arXiv2018

On The $E_α$-Envelopes of Hypercentral Subgroups

The E_{k} envelopes that generalize the double centralizers form a descending chain. In this paper we show that this descending chain stops after finitely many steps for hypercentral subgroups by defining the transfinite forms of some basic descriptions. In particular, we prove that the E_{α}- envelopes of hypercentral subgroups are solvable in the class of groups satisfying chain condition on centralizers. These extend previous results on E_{k} envelopes.

math.GR↗

arXiv2018

On the Derivatives of Bivariate Fibonacci Polynomials

In this study, the new algebraic properties related to bivariate Fibonacci polynomials has been given. We present the partial derivatives of these polynomials in the form of convolution of bivariate Fibonacci polynomials. Also, we define a new recurrence relation for the r-th partial derivative sequence of bivariate Fibonacci polynomials.

math.NT↗

arXiv2018

On Stabilization of $E_k$ Chains

We study special subgroups of infinite groups that generalize double centralizers. We analyze sufficient conditions for descending chains of such subgroups to stop after finitely many steps. We discuss whether this phenomenon can happen in the class of groups satisfying chain condition on centralizers.

math.GR↗