@article{Karanik2013JNTp158175, keywords = {Automorphisms; Curves; Numerical semigroups}, title = {{Representation of cyclic groups in positive characteristic and Weierstrass semigroups}}, author = {Karanikolopoulos, Sotiris and Kontogeorgis, Aristides}, note = {}, file = {KaranJNT.pdf}, volume = {133}, pages = {158{--}175}, url = {http://www.sciencedirect.com/science/article/pii/S0022314X12002132}, doi = {10.1016/j.jnt.2012.05.039}, year = {2013}, journal = {Journal of Number Theory}, abstract = {We study the k[G]-module structure of the space of holomorphic differentials of a curve defined over an algebraically closed field of positive characteristic, for a cyclic group G of order p{\char8467}n. We also study the relation to the Weierstrass semigroup for the case of Galois Weierstrass points}, issn = {0022-314X}, number = {1} }