12 citations · 12 across the 4 of their papers we have counts for
4 papers
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…
The Surface Group Conjecture: Cyclically Pinched and Conjugacy Pinched One-Relator Groups
Laura Ciobanu, Ben Fine, Gerhard Rosenberger
The general {\bf surface group conjecture} asks whether a one-relator group where every subgroup of finite index is again one-relator and every subgroup of infinite index is free (…
Growth rate of an endomorphism of a group
Kenneth Falconer, Benjamin Fine, Delaram Kahrobaei
In [B] Bowen defined the growth rate of an endomorphism of a finitely generated group and related it to the entropy of a map on a compact manifold. In this note we…
Aspects of Nonabelian Group Based Cryptography: A Survey and Open Problems
Benjamin Fine, Maggie Habeeb, Delaram Kahrobaei +1
Most common public key cryptosystems and public key exchange protocols presently in use, such as the RSA algorithm, Diffie-Hellman, and elliptic curve methods are number theory bas…