Generic Subgroups of Group Amalgams (2008)
Fine, Benjamin, Myasnikov, Alexei, Rosenberger, Gerhard
For many groups the structure of finitely generated subgroups is generically simple. That is with asymptotic density equal to one a randomly chosen finitely generated subgroup has a particular...
All Finite Generalized Tetrahedron Groups (2008)
Fine, Benjamin, Hahn, Miriam, Hulpke, Alexander, Rebel, Volker Große, Rosenberger, Gerhard, Scheer, Martin
A generalized tetrahedron groups is defined to be a group admitting a presentation where l,m,n,p,q,r >= 2, each W_i(a,b) is a cyclically reduced word involving both a and b. These groups appear in...
Martin Edjvet, Nottingham Ng Rd, James Howie, Gerhard Rosenberger, Richard M. Thomas
Finite generalized tetrahedron groups with a high-power relator
Encryption methods using formal power series rings (2006)
Baumslag, Gilbert, Brukhov, Yegor, Fine, Benjamin, Rosenberger, Gerhard
Recently there has been a great deal of work on noncommutative algebraic cryptography. This involves the use of noncommutative algebraic objects as the platforms for encryption systems. Most of this...
Encryption methods using formal power series rings (2006)
Baumslag, Gilbert, Brukhov, Yegor, Fine, Benjamin, Rosenberger, Gerhard
Recently there has been a great deal of work on noncommutative algebraic cryptography. This involves the use of noncommutative algebraic objects as the platforms for encryption systems. Most of this...
Finite Generalized Tetrahedron Groups with a High-Power Relator (2002)
Edjvet, M., Howie, James, Rosenberger, Gerhard, Thomas, Richard M.
The fundamental theorem of algebra / Benjamin Fine, Gerhard Rosenberger (1997)
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Commutators as Powers in Free Products of Groups (1993)
Comerford Jr., Leo P., Edmunds, Charles C., Rosenberger, Gerhard
The ways in which a nontrivial commutator can be a proper power in a free product of groups are identified.