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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Fall 1994 • Question 12

Question

Math 6310 • Algebra Fall 1994 • Question 12

Explain what a free group is and prove that any two free bases for the free group \(F\) have the same cardinality.

Raw LaTeX

Explain what a free group is and prove that any two free bases for the free group \(F\) have the
same cardinality.

Topic Tags

Free Groups and Group Presentations