5 citations · 18 across the 9 of their papers we have counts for
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math.NT2008★ 4 cited
On totally real Hilbert-Speiser Fields of type C_p
Cornelius Greither, Henri Johnston
Let G be a finite abelian group. A number field K is called a Hilbert-Speiser field of type G if for every tame G-Galois extension L/K has a normal integral basis, i.e., the ring o…
math.NT2008★ 1 cited
Non-existence and splitting theorems for normal integral bases
Cornelius Greither, Henri Johnston
We establish new conditions that prevent the existence of (weak) normal integral bases in tame Galois extensions of number fields. This leads to the following result: under appropr…