40 citations · 98 across the 35 of their papers we have counts for
7 papers · 1 filter
New perspectives of the power-commutator-structure: Coclass trees of CF-groups and related BCF-groups
Daniel C. Mayer
Let e>1 be an integer. Among the finite 3-groups G with bicyclic commutator quotient G/G' ~ C(3^e) * C(3), having one non-elementary component with logarithmic exponent e, there ex…
Periodic Schur sigma-groups of non-elementary bicyclic type
Daniel C. Mayer
Infinitely many large Schur sigma-groups G with non-elementary bicyclic commutator quotient G/G' = C(3^e) x C(3), e >= 2, are constructed as periodic sequences of vertices in desce…
First excited state with moderate rank distribution
Daniel C. Mayer
Evidence is provided for the existence of infinite periodic sequences of Schur sigma-groups G with commutator quotient G/G' ~ C(3^e) x C(3), e >= 7, and logarithmic order lo(G) = 1…
BCF-groups with elevated rank distribution
Daniel C. Mayer
Infinitely many large Schur sigma-groups G with logarithmic order lo(G)=19+e, non-elementary bicyclic commutator quotient G/G' ~ C(3^e) x C(3), e >= 2, elevated rank distribution r…
Bicyclic commutator quotients with one non-elementary component
Daniel C. Mayer
For any number field K with non-elementary 3-class group Cl(3,K) = C(3^e) x C(3), e >= 2, the punctured capitulation type kappa(K) of K in its unramified cyclic cubic extensions Li…
-Principalization over -fields
Siham Aouissi, Mohamed Talbi, Daniel C. Mayer +1
Let be a prime number and be a primitive cube root of unity. Then is a pure metacyclic field with grou…