Minimal coverings of completely reducible groups

• Autores: A. Abdollahi, S. M. Jafarian Amiri
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 72, Fasc. 1-2, 2008, págs. 167-172
• Idioma: inglés
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• Resumen

  • 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.