| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4586962 | Journal of Algebra | 2009 | 20 Pages |
Abstract
The paper presents further results towards the complete classification of the Hurwitz subgroups of PGL7(F), where F is an algebraically closed field of characteristic p⩾0. We classify up to conjugation all non-rigid triples (x,y,xy)∈GLn(F) such that x2=y3=7(xy)=1, and 〈x,y〉 is an irreducible subgroup of GLn(F). Moreover, for any such triple we find the minimal field of definition of 〈x,y〉.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
