A finite group G is (**)-coverable if every element in G belongs to the conjugated of two proper. subgroups H, K of G. In this paper we prove that the general linear groups GL(n, q) and the simple groups PSL (n, q) are (**)-coverable if and only if 2 less than or equal to n less than or equal to 4.
Coverings of linear groups / D. BUBBOLONI; LUCIDO M. S. - In: COMMUNICATIONS IN ALGEBRA. - ISSN 0092-7872. - STAMPA. - 30(5):(2002), pp. 2143-2159. [10.1081/AGB-120003461]
Coverings of linear groups
BUBBOLONI, DANIELA
;
2002
Abstract
A finite group G is (**)-coverable if every element in G belongs to the conjugated of two proper. subgroups H, K of G. In this paper we prove that the general linear groups GL(n, q) and the simple groups PSL (n, q) are (**)-coverable if and only if 2 less than or equal to n less than or equal to 4.
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