In recent years, there has been a surge of interest in the phenomenon of superradiance, which can be observed upon the interaction of a phase locked (coherent) ensemble of emitters with an electromag netic field mode [1][2][3][4][5]. It is well known that one of the consequences of this interaction is the appearance of collective states in which the probability of sponta neous emission is proportional to the square of the number of emitting particles and, thus, is greatly enhanced [6]. To date, the occurrence of superradi ance has been reliably established only for atomic and quasi atomic systems, such as atoms in optical traps [1], quantum dots [7], and J aggregates [8]. At the same time, to the best of our knowledge, the possibility of the formation of superradiant states in a degenerate exciton gas in bulk semiconductors and semiconduc tor quantum wells (QWs) has not been investigated in detail despite considerable progress in attaining the regime of exciton Bose condensation [9,10]. Proba bly, this is related to the fact that the properties of a degenerate exciton gas in semiconductors with a direct fundamental absorption edge are described in terms of strong exciton-photon coupling, and the formalism developed by Dicke [6] cannot be applied. On the other hand, for semiconductors with an indirect absorption edge, the conservation of the quasimomen tum implies that the emission of a photon upon the recombination of an exciton requires either the partic ipation of a phonon or the presence of a short range potential. In this case, the observation of superradi ance is also impossible because the coherence is par tially lost in the final state (i.e., state in which the exci ton ensemble appears after the emission of a photon). Here, we demonstrate that, nevertheless, superradiant states in a system of excitons in an indirect gap semi conductor may be achievable with regard to 2Eg lumi nescence, i.e., the process in which two electron-hole pairs recombine simultaneously with the emission of one photon carrying away their net energy [11,12]. First, we give a qualitative theoretical description of the effect. Next, we present experimental results sup porting the possibility of the observation of superradi ance in SiGe/Si heterostructures.The possibility of the existence of superradiant states can be illustrated in the simplest way by the example of a degenerate gas of noninteracting (or weakly interacting) biexcitons. In a number of semi conductors with an indirect fundamental absorption edge, in particular, in bulk Si [13] or SiGe/Si QWs [14], there are two mechanisms of the radiative recom bination of biexcitons that differ in the number of recombining electron-hole pairs. Conventional (1Eg) luminescence corresponds to the processes in which, upon the emission of a photon by a biexciton, there remains an electron-hole pair. Weak emission with photon energy approximately twice as high as the band gap energy (2Eg luminescence) appears when, upon the simultaneous recombination of the two electronhole pairs comprising ...