The Möbius Number of the Socle of any Group

Details The Möbius Number of the Socle of any Group The Möbius Number of the Socle of any Group

2010-02-18

arxiv.org/abs/1002.3503v1

Mathematics

Group Theory

11 pages

Scientific paper

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

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