Semisimple completed group rings.
Simple modules over CC-groups and monolithic just non-CC-groups
In questo lavoro studiamo i non CC-gruppi monolitici con tutti i quozienti propri CC-gruppi, che hanno sottogruppi abeliani normali non banali.
Skein algebra of a group
We define for each group G the skein algebra of G. We show how it is related to the Kauffman bracket skein modules. We prove that skein algebras of abelian groups are isomorphic to symmetric subalgebras of corresponding group rings. Moreover, we show that, for any abelian group G, homomorphisms from the skein algebra of G to C correspond exactly to traces of SL(2,C)-representations of G. We also solve, for abelian groups, the conjecture of Bullock on SL(2,C) character varieties of groups - we show...
Some Recognizable Properties of Solvable Groups.
Strongly prime radical of group algebras.
Subgroups of the basic subgroup in a modular group ring
Subgroups with projective abelianization and trivial multiplicator.
Sur le problème d'isomorphisme et la suite de dimension
Sylow P-Subgroups of Abelian Group Rings
2000 Mathematics Subject Classification: Primary 20C07, 20K10, 20K20, 20K21; Secondary 16U60, 16S34.Let PG be the abelian modular group ring of the abelian group G over the abelian ring P with 1 and prime char P = p. In the present article,the p-primary components Up(PG) and S(PG) of the groups of units U(PG) and V(PG) are classified for some major classes of abelian groups. Suppose K is a first kind field with respect to p in char K ≠ p and A is an abelian p-group. In the present work, the p-primary...
Symmetric units and group identities in group algebras. I.