Noether symmetries in Gauss–Bonnet-teleparallel cosmology

A generalized teleparallel cosmological model, [Formula: see text] , containing the torsion scalar T and the teleparallel counterpart of the Gauss–Bonnet topological invariant [Formula: see text] , is studied in the framework of the Noether symmetry approach. As [Formula: see text] gravity, where [Formula: see text] is the Gauss–Bonnet topological invariant and R is the Ricci curvature scalar, exhausts all the curvature information that one can construct from the Riemann tensor, in the same way, [Formula: see text] contains all the possible information directly related to the torsion tensor. In this paper, we discuss how the Noether symmetry approach allows one to fix the form of the function [Formula: see text] and to derive exact cosmological solutions.