GRAY ISOMETRIES FOR FINITE p-GROUPS

@inproceedings{Sobhani2013GRAYIF,
  title={GRAY ISOMETRIES FOR FINITE p-GROUPS},
  author={Reza Sobhani and Leo Storme},
  year={2013}
}
We construct two classes of Gray maps, called type-I Gray map and type-II Gray map, for a finite p-group G. Type-I Gray maps are constructed based on the existence of a Gray map for a maximal subgroup H of G. When G is a semidirect product of two finite p-groups H and K, both H and K admit Gray maps and the corresponding homomorphism ψ : H −→ Aut(K) is compatible with the Gray map of K in a sense which we will explain, we construct type-II Gray maps for G. Finally, we consider group codes over… CONTINUE READING