I don't know what time period you are asking about, but socialism didn't exist until the 1950's.
Yes, both Indian Territory and Oklahoma Territory.
Oklahoma
Territory of Oklahoma & Indian Territory
Though not always considered a Southwest state, the eastern half of Oklahoma was known as Indian Territory from 1834 to 1907, when it was joined with the Oklahoma Territory.
The Oklahoma territory
The answer is Oklahoma*
They moved to Indian Territory in eastern selections of present day Oklahoma.
Oklahoma
in 1834
Oklahoma
None, when the United States admitted Oklahoma as a state in 1907, all titles to "Indian Territory" were extinguished (the treaty was violated).
Because that was the area designated by Congress to be the territory into which Indian tribes were to be relocated.