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Galois Orbits of Principal Congruence Hecke Curves
Author(s) -
Schmidt Thomas A.,
Smith Katherine M.
Publication year - 2003
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610703004113
Subject(s) - congruence (geometry) , mathematics , pure mathematics , galois module , galois group , absolute galois group , congruence subgroup , congruence relation , galois cohomology , action (physics) , geometry , physics , quantum mechanics
It is shown that the natural action of the absolute Galois group on the ideals defining principal congruence subgroups of certain nonarithmetic Fuchsian triangle groups is compatible with its action on the algebraic curves that these congruence groups uniformize.