Zobrazeno 1 - 10
of 182
pro vyhledávání: '"Rosenberger, Gerhard"'
Publikováno v:
journal of Groups, complexity, cryptology, Volume 16, Issue 1 (July 27, 2024) gcc:11330
We consider a class of groups, called groups of F-type, which includes some known and important classes like Fuchsian groups of geometric rank $\ge 3$, surface groups of genus $\ge 2$, cyclically pinched one-relator groups and torus-knot groups, and
Externí odkaz:
http://arxiv.org/abs/2305.09818
Publikováno v:
journal of Groups, complexity, cryptology, Volume 13, Issue 2 (December 6, 2021) gcc:8796
In [FGRS1,FGRS2] the relationship between the universal and elementary theory of a group ring $R[G]$ and the corresponding universal and elementary theory of the associated group $G$ and ring $R$ was examined. Here we assume that $R$ is a commutative
Externí odkaz:
http://arxiv.org/abs/2112.01056
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 kind of a one-time pad. The second one is inspired by the ElGamal cryp
Externí odkaz:
http://arxiv.org/abs/1603.02328
A group is $G$ commutative transitive or CT if commuting is transitive on nontrivial elements. A group $G$ is CSA or conjugately separated abelian if maximal abelian subgroups are malnormal. These concepts have played a prominent role in the studies
Externí odkaz:
http://arxiv.org/abs/1506.02636
We consider the generalized Hurwitz equation $a_1x_1^2+ \cdots +a_nx_n^2 = dx_1 \cdots x_n-k$ and the Baragar-Umeda equation $ax^2+by^2+cz^2=dxyz+e$ for solvability in integers.
Externí odkaz:
http://arxiv.org/abs/1504.04321
Based on a combinatorial distribution of shares we present in this paper secret sharing schemes and cryptosystems using Nielsen transformations.
Externí odkaz:
http://arxiv.org/abs/1504.03141
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 Remeslennikov [Re] showed that this is also equivalent to being universally free,
Externí odkaz:
http://arxiv.org/abs/1210.3950
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 (property IF) is a surface group. We resolve several related conjecture
Externí odkaz:
http://arxiv.org/abs/1208.3992
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 based and hence depend on the structure of abelian groups. The strength o
Externí odkaz:
http://arxiv.org/abs/1103.4093
The ways in which a nontrivial commutator can be a proper power in a free product of groups are identified.
Comment: AMS-LaTex, 6 pages, no figures
Comment: AMS-LaTex, 6 pages, no figures
Externí odkaz:
http://arxiv.org/abs/math/9310205