[FOM] Universe-sized groups with only set-sized normal subgroups

David Roberts david.roberts at adelaide.edu.au
Sun Nov 20 00:58:16 EST 2011


Let k be an inaccessible cardinal, G a group with |G| ≥ k. Say G is
k-simple if for all normal N < G, |N| < k. Can we construct a k-simple
group? Can we force this?

David Roberts
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