Towards a characterization of subfields of the Deligne–Lusztig function fields

• Main Authors: Bassa, Alp, Ma, Liming, Xing, Chaoping, Yeo, Sze Ling
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2013
• Subjects: DRNTU::Science::Mathematics
• Online Access: https://hdl.handle.net/10356/97707; http://hdl.handle.net/10220/18111
• Institution: Nanyang Technological University

In this paper, we give a characterization of subgroups contained in the decomposition group A(P∞) of a rational place P∞ by means of a necessary and sufficient condition for each of the three types of function fields of Deligne–Lusztig curves. In particular, we translate the problems on the genera o...