The Möbius Number of the Socle of any Group

2010/02/18 by Monks, Kenneth M
#20D40 #20D60 #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1002.3503

Abstract

We obtain a formula for the Möbius number of the socle of any group. Specifically, the Möbius number of a direct product of simple groups is computed in terms of the Möbius numbers of the simple groups which make up the product.

Related

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• The Möbius function of the small Ree groups
• Zero sum sets in abelian groups
• The Möbius function of \rm PSL(3,2^p) for any prime p
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