Author:
Bryce R.A.,Fedri V.,Serena L.
Abstract
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).
Publisher
Cambridge University Press (CUP)
Reference9 articles.
1. Groups as the union of proper subgroups.
2. On $n$-Sum Groups.
3. [7] Shieh J. , Covering groups with subgroups, Grad. Dip. Thesis (The Australian National University, ACT, Australia, 1997).
4. Groups covered by finitely many cosets;Neumann;Publ. Math. Debrecen,1954
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