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Nous définissons une représentation des groupes d’Artin de type $A D E$ par monodromie de systèmes KZ généralisés, dont nous montrons qu’elle est isomorphe à la représentation de Krammer généralisée définie originellement par A.M.Cohen et D.Wales, et indépendamment par F.Digne. Cela implique que tous les groupes d’Artin purs de type sphérique sont résiduellement nilpotents-sans-torsion, donc (bi-)ordonnables. En utilisant cette construction nous montrons que ces représentations irréductibles sont Zariski-denses...

Sylow P-Subgroups of Abelian Group Rings

Danchev, P. (2003)

Serdica Mathematical Journal

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...

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Subgroups normalized by the commutator subgroup of the Levi subgroup.

Subgroups of finite index in generalized $T$ -groups

Subgroups of finite index in nilpotent groups.

Subgroups of Finite Index in Profinite Groups.

Subgroups of quasi-HNN groups.

Subgroups of small cancellation groups.

Subgroups of split orthogonal groups. II.

Subgroups of the Chevalley groups of type $F_{4}$ arising from a polar space.

Subgroups of the Clifford group.

Subgroups of the group Zn and a generalization of the Golab-Schinzel functional equation.

Subgroups of the orthogonal groups of even degree over a local field.

Subnormalizers and embedding properties of subgroups of finite groups.

Sui gruppi con molti sottogruppi subnormali

Sui gruppi relativamente complementati

Sur les représentations de Krammer génériques

Sylow P-Subgroups of Abelian Group Rings

Sylow theory in locally finite groups

Sylow theory of $C C$ -groups

The amalgamation basis of the category of compact groups.

The Birkhoff-Neumann Embedding of Relatively Free Groups

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