A statistical analysis of radial ( line-of-sight ) 1D-distributions of brightest cluster galaxies ( BCGs ) within the redshift interval 0.044 \leq z \leq 0.78 and Mg II absorption-line systems ( 0.37 \leq z \leq 2.28 ) is carried out .
Power spectra and two-point radial correlation functions are calculated .
It is found that both radial distributions of spectroscopic redshifts of 52,683 BCGs and 32,840 Mg II absorption systems incorporate similar quasi-periodical components relatively to the comoving distance .
Significance of the components exceeds 4 \sigma -level and admits an increase ( \raise 1.29 pt \hbox { $ > $ \kern - 7.5 pt \raise - 4.73 pt \hbox { $ \sim$ } } 5 \sigma ) for some broad subsamples .
For the \Lambda CDM cosmological model the periodicities correspond to spatial comoving scales ( 98 \pm 3 ) and ( 101 \pm 2 ) h ^ { -1 } Mpc , respectively .
These quasi-periods turn out to be close to the characteristic scale ( 101 \pm 6 ) h ^ { -1 } Mpc of the quasi-periodical component obtained earlier for the radial distribution of luminous red galaxies ( LRGs ) .
On the other hand , the scales are close to the spatial scale corresponding to the baryon acoustic oscillations ( BAOs ) revealed by many authors at the last decade .
Fourier transform phases obtained for the BCGs and LRGs are found to be close , while the phases calculated for the Mg II absorption systems and LRGs are opposite .
Discussions of the results in a context of the BAO and large-scale structure characteristic scales are outlined .