Statement:
If a group \(G\) satisfies "every ascending chain of subgroups is finite", then every subgroup of \(G\) is finitely generated.
Howard_Rubin_Number: 240
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: