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Subgroup coverings of some linear groups

Published online by Cambridge University Press:  17 April 2009

R.A. Bryce ,
V. Fedri  and
L. Serena
R.A. Bryce
Affiliation:
School of Mathematical Sciences, The Australian National University, Canberra, ACT 0200, Australia
V. Fedri
Affiliation:
Diapartimento di Matematica, viale Morgagni, 67/A, 50134 Firenze, Italia
L. Serena
Affiliation:
Istituto di Matematica, Facoltá di Architettura, via dell'Agnolo, 14 50122 Firenze, Italia
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A cover for a group is a collection of proper subgroups whose union is the whole group. A cover is minimal if no other cover contains fewer members. We term minimised a minimal cover with the property that substituting for a member of the cover by a proper subgroup of that member produces a collection which is no longer a cover. We here describe the minimised covers for the groups GL2 (q), SL2 (q), PSL2 (q) and PGL2(q).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 60 , Issue 2 , October 1999 , pp. 227 - 238
Copyright
Copyright © Australian Mathematical Society 1999

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