26 research outputs found
Cyclic Reduction of Central Embedding Problems
AbstractIt is shown that every central embedding problem E for the absolute Galois group G of a number field has a so-called cyclic reduction E′; this is a central embedding problem for G with a cyclic quotient group J of G such that E is solvable if and only if E′ is solvable. Some information about the minimal order of J is also provided
Some Numerical Invariants Related to Central Embedding Problems
AbstractFor every central embedding problem three numerical invariants which give information about its solvability are defined. Furthermore, in the number field case universal estimates for these invariants are given
Patterns of initiation of second generation antipsychotics for bipolar disorder: a month-by-month analysis of provider behavior
The role of peripheral nerve fibers and their neurotransmitters in cartilage and bone physiology and pathophysiology
Cyclic Reduction of Central Embedding Problems
AbstractIt is shown that every central embedding problem E for the absolute Galois group G of a number field has a so-called cyclic reduction E′; this is a central embedding problem for G with a cyclic quotient group J of G such that E is solvable if and only if E′ is solvable. Some information about the minimal order of J is also provided