2 citations · 3 across the 3 of their papers we have counts for
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Unit Signatures in Real Biquadratic and Multiquadratic Number Fields
David S. Dummit, Hershy Kisilevsky
We consider the signature rank of the units in real multiquadratic fields. When the three quadratic subfields of a real biquadratic field either (a) all have signature rank 2 (…
A Note on the equivalence of the parity of class numbers and the signature ranks of units in cyclotomic fields
David S. Dummit
We collect some statements regarding equivalence of the parities of various class numbers and signature ranks of units in prime power cyclotomic fields. We correct some misstatemen…
Classes of order 4 in the strict class group of number fields and remarks on unramified quadratic extensions of unit type
David S. Dummit
Let be a number field of degree over . Then the 4-rank of the strict class group of is at least ${\text{rank}_2 \, } ({ E_{K}^{+} } / E_K^2) - \lfloor n /2…
Signature Ranks of Units in Cyclotomic Extensions of Abelian Number Fields
David S. Dummit, Evan P. Dummit, Hershy Kisilevsky
We prove the rank of the group of signatures of the circular units (hence also the full group of units) of tends to infinity with . We also show the signat…
Decomposition Configuration Types in Minimally Tamely Ramified Extensions of
David S. Dummit, Hershy Kisilevsky
We examine whether it is possible to realize finite groups as Galois groups of minimally tamely ramified extensions of and also specify both the inertia groups and…