Abstract:
We describe the mentioned groups, assigning values to commutators of the generating elements and defining a group operation on corteges of elements of the Galois field with a prime odd characteristic. On the indicated groups we define odules over the Galois field and describe these odules. We prove that the considered groups are those with unique extraction of root.
Keywords:finite nilpotent groups of the 2nd degree, Galois field, odule.