1 citations · 2 across the 14 of their papers we have counts for
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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…
Schur sigma-groups with abelian quotient invariants (9,3)
Daniel C. Mayer
By the construction of suitable non-metabelian Schur sigma-groups S of type (9,3) with log order lo(S) = 21 and nilpotency class cl(S) = 9, evidence is provided of a new class of i…
Extremal root paths of Schur \(σ\)-groups and first \(3\)-class field towers with four stages
Daniel C. Mayer
An extremal property of finite Schur sigma-groups G is described in terms of their path to the root in the descendant tree of their abelianization G/G'. The phenomenon is illustrat…
The strategy of pattern recognition via Artin transfers applied to finite towers of 2-class fields
Daniel C. Mayer
The isomorphism type of the Galois group of the 2-class field tower of quadratic number fields having a 2-class group with abelian type invariants (4,4) is determined by means of i…