Structure growth in f (Q) cosmology

We take into account redshift space distortion measurements to investigate the growth of cosmological large-scale structures within the framework of generalized symmetric teleparallel-f(Q) - gravity. After comparing the predictions of the f(Q)- gravity expansion history with Hubble parameter data and SNIa Pantheon + sample data sets and constraining the pertinent cosmological parameters Omega(m) and H-0, together with the exponent n for f(Q) power-law models, we derive the full system of equations governing linear cosmological perturbations to study matter fluctuations using the 1 + 3 covariant formalism when applied to f(Q) gravity. Thus, we resort to both the usual redshift-space distortion data f sigma(8) and some recent separate measurements of the growth rate f and the amplitude of matter fluctuations sigma(8) from the VIPERS (VIMOS Public Extragalactic Redshift Survey) and SDSS (Sloan Digital Sky Survey) collaborations to find the best-fitting cosmological parameters Omega(m), sigma(8) , and n . We also apply a collective analysis of such growth-structure data together with the aforementioned cosmic expansion measurements to constrain these parameters through Monte Carlo Markov Chain simulations. As a result, our analysis is capable of determining the statistical significance for the best-fitting parameter values through the AIC and BIC Bayesian selection criteria.