Statement:

Every infinite, locally finite group has an infinite Abelian subgroup. (Locally finite means every finite subset generates a finite subgroup.)

Howard_Rubin_Number: 176

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:
Plotkin-1981: ZF and locally finite groups

Book references

Note connections:

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

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