3 papers
math.NT2015
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…
math.GR2015
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…
math.NT2015
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…