Only keep the minimum value of each group

I have the following data.table:-

> dataz <- data.table(group = c("ZAS", "Car", rep("EEE", times = 3), rep("EEff", times = 2), rep("2133", times = 6), "EETTE"),
                    value = runif(14))
> dataz

    group      value
 1:   ZAS 0.27218511
 2:   Car 0.39520602
 3:   EEE 0.46775956
 4:   EEE 0.55071786
 5:   EEE 0.37529203
 6:  EEff 0.01471177
 7:  EEff 0.86282569
 8:  2133 0.20789336
 9:  2133 0.91272858
10:  2133 0.06315207
11:  2133 0.18178237
12:  2133 0.42354538
13:  2133 0.10176267
14: EETTE 0.88492458

I want to keep only those rows which have minimum value of each group.

The final data.table will be of the following form:-

    group      value
 1:   ZAS 0.27218511
 2:   Car 0.39520602
 3:   EEE 0.37529203
 4:  EEff 0.01471177
 5:  2133 0.06315207
 6: EETTE 0.88492458

Thanks in advance.

>Solution :

With .SD:

dataz[,.SD[value==min(value)],by=.(group)]
    group      value
   <char>      <num>
1:    ZAS 0.39590814
2:    Car 0.42591138
3:    EEE 0.07049145
4:   EEff 0.34670793
5:   2133 0.05702904
6:  EETTE 0.31071582