caa a22 4500 388091827 CHVBK 20180307125254.0 cr unu---uuuuu 161130e199910 xx s 000 0 eng 10.1017/S0004972700036364 doi S0004972700036364 pii (NATIONALLICENCE)cambridge-10.1017/S0004972700036364 Subgroup coverings of some linear groups [Elektronische Daten] 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). Copyright © Australian Mathematical Society 1999 Bryce R.A. School of Mathematical Sciences, The Australian National University, Canberra, ACT 0200, Australia Fedri V. Diapartimento di Matematica, viale Morgagni, 67/A, 50134 Firenze, Italia Serena L. Istituto di Matematica, Facoltá di Architettura, via dell'Agnolo, 14 50122 Firenze, Italia Bulletin of the Australian Mathematical Society Cambridge University Press 60/2(1999-10), 227-238 0004-9727 60:2<227 1999 60 BAZ https://doi.org/10.1017/S0004972700036364 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0004972700036364 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bryce R.A. School of Mathematical Sciences, The Australian National University, Canberra, ACT 0200, Australia NATIONALLICENCE 700 1- Fedri V. Diapartimento di Matematica, viale Morgagni, 67/A, 50134 Firenze, Italia NATIONALLICENCE 700 1- Serena L. Istituto di Matematica, Facoltá di Architettura, via dell'Agnolo, 14 50122 Firenze, Italia NATIONALLICENCE 773 0- Bulletin of the Australian Mathematical Society Cambridge University Press 60/2(1999-10), 227-238 0004-9727 60:2<227 1999 60 BAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge