Loading...
Please wait, while we are loading the content...
Similar Documents
Nilpotent metacyclic irreducible linear groups of odd order
| Content Provider | Semantic Scholar |
|---|---|
| Author | Kovs, By L. G. Sim, Ha Yan |
| Copyright Year | 2005 |
| Abstract | Let F be an arbitrary field, G a nilpotent metacyclic group of odd order, and G A"t~ the subgroup consisting of those elements of G which are fixed by every automorphism of G. We show that the images of two faithful irreducible F-representations of G are linearly isomorphic if and only if the restrictions of the representations to G Au'~ are equivalent. If the centre of G is cyclic and the characteristic o f f does not divide the order of G, then the number of linear isomorphism types of the irreducible F-linear groups that are abstractly isomorphic to G is precisely the number of equivalence types of faithful irreducible F-representations of G AutG. For groups of this kind, we also show how to calculate the order of G Aut ~. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://archives.maths.anu.edu.au/people/Kovacs/K093.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Irreducibility Irreducible complexity Subgroup A Nepoviruses Turing completeness |
| Content Type | Text |
| Resource Type | Article |
