SK1 of finite group rings: V.
Some questions on the number of generators of a finite group
Some remarks on G-functors and the Brauer morphism.
Sous-groupes compacts maximaux des groupes semi-simples -adiques
Splitting fields and group characters.
s-rings and modular representations.
Stable equivalences of Morita type for self-injective algebras and p-groups.
Staircases in .
Structure and detection theorems for -modules
Structure of the Unit Group of FD10
2000 Mathematics Subject Classification: 16U60, 20C05.The structure of the unit group of the group algebra FD10 of the dihedral group D10 of order 10 over a finite field F has been obtained.Supported by National Board of Higher Mathematics, DAE, India.
Structure of the unit group of the group algebras of non-metabelian groups of order 128
We characterize the unit group for the group algebras of non-metabelian groups of order 128 over the finite fields whose characteristic does not divide the order of the group. Up to isomorphism, there are 2328 groups of order 128 and only 14 of them are non-metabelian. We determine the Wedderburn decomposition of the group algebras of these non-metabelian groups and subsequently characterize their unit groups.
Structure of unitary groups over finite group rings and its application
In this paper, we determine all the normal forms of Hermitian matrices over finite group rings , where , is a commutative -group with order . Furthermore, using the normal forms of Hermitian matrices, we study the structure of unitary group over through investigating its BN-pair and order. As an application, we construct a Cartesian authentication code and compute its size parameters.
Subgroups of odd depth—a necessary condition
This paper gives necessary and sufficient conditions for subgroups with trivial core to be of odd depth. We show that a subgroup with trivial core is an odd depth subgroup if and only if certain induced modules from it are faithful. Algebraically this gives a combinatorial condition that has to be satisfied by the subgroups with trivial core in order to be subgroups of a given odd depth. The condition can be expressed as a certain matrix with -entries to have maximal rank. The entries of the matrix...
Subpair multiplicities in finite groups.
Summands of finite group algebras
We study the inverse problem of the determination of a group algebra from the knowledge of its Wedderburn decomposition. We show that a certain class of matrix rings always occur as summands of finite group algebras.
Sur le module des relations d'un p-groupe et la suite exacte d'inflation-restriction.
Sur le problème d'isomorphisme et la suite de dimension
Sur l'induction des modules indécomposables et la projectivité relative.
Survey on the reprensentation type of group algebras
Symmetrische Algebren mit injektivem Zentrum.