PRIMARY DECOMPOSITION OF A 0-CONNECTED NILPOTENT SPACE

Connected transversals to nilpotent groups

We prove that a finite group with nilpotent subgroup H and H-connected transversals is solvable. The proof depends on the classification of finite simple groups.

Connected Hopf Algebras with Dixmier Basis and Infinite Primary Decomposition

Connected Hopf Algebras with Dixmier Bases and Infinite Primary Decomposition

A quantum homogeneous space of nilpotent matrices

A quantum deformation of the adjoint action of the special linear group on the variety of nilpotent matrices is introduced. New non-embedded quantum homogeneous spaces are obtained related to certain maximal coadjoint orbits, and known quantum homogeneous spaces are revisited. MSC: 16W35; 20G42; 17B37; 81R50

Decomposition of 3-connected graphs