17 citations · 94 across the 22 of their papers we have counts for
6 papers · 1 filter
The number of quartic -fields with monogenic cubic resolvent ordered by conductor
Cindy Tsang, Stanley Yao Xiao
In this paper, we consider maximal and irreducible quartic orders which arise from integral binary quartic forms, via the construction of Birch and Merriman, and whose field of fra…
On the self-duality of rings of integers in tame and abelian extensions
Cindy Tsang
Let be a tame and Galois extension of number fields with group . It is well-known that any ambiguous ideal in is locally free over (of rank one), and…
Binary quartic forms with bounded invariants and small Galois groups
Cindy Tsang, Stanley Yao Xiao
In this paper, we consider integral and irreducible binary quartic forms whose Galois group is isomorphic to a subgroup of the dihedral group of order eight. We first show that the…
Galois module structure of the square root of the inverse different over maximal orders
Cindy Tsang
Let be a number field with ring of integers and let be a \mbox{finite group of} odd order. Given a -Galois -algebra , let be the square roo…
Realizable classes and embedding problems
Cindy Tsang
Let be a number field with ring of integers and let be a finite group. Given a -Galois -algebra , let denote its ring of integers…
On the Galois module structure of the square root of the inverse different in abelian extensions
Cindy, Tsang
Let be a number field with ring of integers and a finite group of odd order. If is a weakly ramified -Galois -algebra, then its square root $A_h…