40 citations · 98 across the 35 of their papers we have counts for
5 papers · 1 filter
Artin transfer patterns on descendant trees of finite p-groups
Daniel C. Mayer
Based on a thorough theory of the Artin transfer homomorphism \(T_{G,H}:\,G\to H/H^\prime\) from a group \(G\) to the abelianization \(H/H^\prime\) of a subgroup \(H\le G\) of fini…
New number fields with known p-class tower
Daniel C. Mayer
The p-class tower of a number field k is its maximal unramified pro-p extension. It is considered to be known when the p-tower group, that is the Galois group $G:=G…
Periodic sequences of p-class tower groups
Daniel C. Mayer
Recent examples of periodic bifurcations in descendant trees of finite p-groups with p in {2,3} are used to show that the possible p-class tower groups G of certain multiquadratic…
Periodic bifurcations in descendant trees of finite (p)-groups
Daniel C. Mayer
Theoretical background and an implementation of the (p)-group generation algorithm by Newman and O'Brien are used to provide computational evidence of a new type of periodically re…
Index-\(p\) abelianization data of \(p\)-class tower groups
Daniel C. Mayer
Given a fixed prime number \(p\), the multiplet of abelian type invariants of the \(p\)-class groups of all unramified cyclic degree \(p\) extensions of a number field \(K\) is cal…