2-Coverings of classical groups

2011/02/03 by D. Bubboloni, Bubboloni, D., M. S. Lucido +3
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #Primary 20G40 #Secondary 20E32 #math.GR #msc:20E32 #msc:20G40

paper · pdf · doi:10.48550/arxiv.1102.0660

arxiv created 2011/02/03 · arxiv updated 2011/02/04

Abstract

In this paper we show that if n≥ 5 and G is any of the groups SU_n(q) with n≠ 6, Sp_2n(q) with q odd, Ω_2n+1(q), Ω_2n^±(q), then G and the simple group \barG=G/Z(G) are not 2-coverable. Moreover the only 2-covering of Sp_2n(q), with q even, has components O^-_2n(q) and O⁺_2n(q) .

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