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| Titel: |
Writing representations over minimal fields |
| Auteur: |
Glasby, S. P. Howlett, R. B. |
| Verschenen in: |
Communications in algebra |
| Paginering: | Jaargang 25 (1997) nr. 6 pagina's 1703-1711 |
| Jaar: |
1997 |
| Inhoud: |
The chief aim of this paper is to describe a procedure which, given a d-dimensional absolutely irreducible matrix representation of a finite group over a finite field E, produces an equivalent representation such that all matrix entries lie in a subfield F of E which is as small as possible. The algorithm relies on a matrix version of Hilbert's Theorem 90, and is probabilistic with expected running time O(|E:F|d3) when |F| is bounded. Using similar methods we then describe an algorithm which takes as input a prime number and a power-conjugate presentation for a finite soluble group, and as output produces a full set of absolutely irreducible representations of the group over fields whose characteristic is the specified prime, each representation being written over its minimal field. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 25 van 25 gevonden artikelen
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