Statement:

The order of any group is divisible by the order of any of its subgroups, (i.e., if \(H\) is a subgroup of \(G\) then there is a set \(A\) such that \(|H\times A| = |G|\).)

Howard_Rubin_Number: 237

Parameter(s): This form does not depend on parameters

This form's transferability is: Unknown

This form's negation transferability is: Negation Transferable

Article Citations:
Hickman-1976: Groups in models of set theory that fail the axiom of choice

Book references

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 1,

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