Crossed n-folds extensions of groups and cohomology.
Crossed product of cyclic groups
All crossed products of two cyclic groups are explicitly described using generators and relations. A necessary and sufficient condition for an extension of a group by a group to be a cyclic group is given.
Crossed semimodules and Schreier internal categories in the category of monoids.
Cryptographic Primitives with Quasigroup Transformations
AMS Subj. Classification: Primary 20N05, Secondary 94A60The intention of this research is to justify deployment of quasigroups in cryptography, especially with new quasigroup based cryptographic hash function NaSHA as a runner in the First round of the ongoing NIST SHA-3 competition. We present new method for fast generation of huge quasigroup operations, based on the so-called extended Feistel networks and modification of the Sade’s diagonal method. We give new design of quasigroup based family of...
Crystal lattices and sub-lattices
Crystallographic actions on Lie groups and post-Lie algebra structures
This survey on crystallographic groups, geometric structures on Lie groups and associated algebraic structures is based on a lecture given in the Ostrava research seminar in .
Crystals of Fock spaces and cyclotomic rational double affine Hecke algebras
We define the -restriction and -induction functors on the category of the cyclotomic rational double affine Hecke algebras. This yields a crystal on the set of isomorphism classes of simple modules, which is isomorphic to the crystal of a Fock space.
C-S-maximal superassociative systems
C-S-maximal superassociative systems. II.
Cube tilings as contributions of algebra to geometry.
Cubical sets and their site.
Cubulating spaces with walls.
Curvature testing in 3-dimensional metric polyhedral complexes.
Cuspidal local systems and graded Hecke algebras, I
Cycle indicators of linear groups and enumeration of linear codes. (Zyklenzeiger linearer Gruppen und Abzählung linearer Codes.)
Cyclic and dihedral constructions of even order
Let and be two groups of finite order , and suppose that they share a normal subgroup such that if or . Cases when is cyclic or dihedral and when for exactly pairs have been shown to be of crucial importance when studying pairs of 2-groups with the latter property. In such cases one can describe two general constructions how to get all possible from a given . The constructions, denoted by and , respectively, depend on a coset (or two cosets and ) modulo , and on an...
Cyclic extensions of the Medvedev ordered groups
Cyclic homology of group rings
Cyclic homology of groups and the Bass conjecture.
Cyclic parabolic quasiconformal groups that are not quasiconformal conjugates of Möbius groups.