Resumen de Minimal coverings of completely reducible groups

A. Abdollahi, S. M. Jafarian Amiri

• Let G be a group that is a set-theortic union of ¯nitely many proper subgroups.

  Cohn de¯ned ¾(G) to be the least integer m such that G is the union of m proper subgroups. Determining ¾ is an open problem for most non-solvable groups. In this paper we give a formula for ¾(G), where G is a completely reducible group.