๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Faithful Irreducible Representations of Metacyclic Groups

โœ Scribed by H.S. Sim


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
389 KB
Volume
170
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Equivalence of Absolutely Irreducible Or
โœ C. Riehm ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 177 KB

Let V be a finite dimensional vector space over a field K of characteristic / 2, and b: V = V ยช K a non-degenerate symmetric bilinear form. ลฝ . Let : G ยช O b be an orthogonal representation of the finite group G. Unless mentioned otherwise, we assume throughout that is absolutely irreducible as a l

Groups without Faithful Transitive Permu
โœ Lรกszlรณ Babai; Albert J. Goodman; Lรกszlรณ Pyber ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 328 KB

A subgroup H of a group G is core-free if H contains no non-trivial normal subgroup of G, or equivalently the transitive permutation representation of G on the cosets of H is faithful. We study the obstacles to a group having large core-free subgroups. We call a subgroup D a ''dedekind'' subgroup of

Irreducible Representations of Braid Gro
โœ Oh Kang Kwon ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 227 KB

Quantized enveloping algebras U แ’„ and their representations provide natural settings for the action of the corresponding braid groups. Objects of particular ลฝ . interest are the zero weight spaces of U แ’„ -modules since they are stable under the ลฝ . braid group action. We show that for แ’„ s แ’ แ’‰ there

Constructing Faithful Representations of
โœ Willem A. de Graaf; Werner Nickel ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 257 KB

We formulate an algorithm for calculating a representation by unipotent matrices over the integers of a finitely-generated torsion-free nilpotent group given by a polycyclic presentation. The algorithm works along a polycyclic series of the group, each step extending a representation of an element o

Lower Multiplicity for Irreducible Repre
โœ Eberhard Kaniuth ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 141 KB

Let G be a nilpotent locally compact group. The lower multiplicity M L (?) is defined for every irreducible representation ? of G, which does not form an open point in the dual space G of G. It is shown that M L (?)=1 if either G is connected or ? is finite dimensional. Conversely, for G a nilpotent