12 citations · 13 across the 10 of their papers we have counts for
8 papers · 1 filter
Groups of F-Type
Benjamin Fine, Gerhard Rosenberger, Leonard Wienke
We consider a class of groups, called groups of F-type, which includes some known and important classes like Fuchsian groups of geometric rank , surface groups of genus $\ge…
The Axiomatics of Free Group Rings
Benjamin Fine, Anthony Gaglione, Martin Kreuzer +2
In [FGRS1,FGRS2] the relationship between the universal and elementary theory of a group ring and the corresponding universal and elementary theory of the associated group $…
Cryptosystems Using Automorphisms of Finitely Generated Free Groups
Anja I. S. Moldenhauer, Gerhard Rosenberger
This paper introduces a newly developed private key cryptosystem and a public key cryptosystem. In the first one, each letter is encrypted with a different key. Therefore, it is a…
On CT and CSA Groups and Related Ideas
Benjamin Fine, Anthony Gaglione, Gerhard Rosenberger +1
A group is commutative transitive or CT if commuting is transitive on nontrivial elements. A group is CSA or conjugately separated abelian if maximal abelian subgroups are…
Cryptographic protocols based on Nielsen transformations
Anja I. S. Moldenhauer, Gerhard Rosenberger
Based on a combinatorial distribution of shares we present in this paper secret sharing schemes and cryptosystems using Nielsen transformations.
Classes of Groups Generalizing a Theorem of Benjamin Baumslag
Laura Ciobanu, Ben Fine, Gerhard Rosenberger
In [BB] Benjamin Baumslag proved that being fully residually free is equivalent to being residually free and commutative transitive (CT). Gaglione and Spellman [GS] and Remeslennik…