Muon spin relaxation was measured down to 0.05 K on a geometrically frustra
ted metallic system, beta-Mn. The observed relaxation rate increases with d
ecreasing temperature and unexpectedly makes a peak at 0.5 K indicating a s
pin freezing below the temperature. Actually the asymmetry is almost recove
red by applying a longitudinal magnetic field of 0.1 T. But since the tail
amplitude is more than half and the dynamical relaxation is still appreciab
le at the lowest temperature, it is likely that the frozen moments are asso
ciated with imperfection as oxygen impurity and the intrinsic ground state
is fluctuating spin liquid.