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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Fall 1994 • Question 13

Question

Math 6310 • Algebra Fall 1994 • Question 13

Prove that the group given by the presentation \[ \langle x,y\mid x^2=1,\ y^2=1,\ xyx=yxy\rangle \] has 6 elements.

Raw LaTeX

Prove that the group given by the presentation
\[
\langle x,y\mid x^2=1,\ y^2=1,\ xyx=yxy\rangle
\]
has 6 elements.

Topic Tags

Finite Group Theory Free Groups and Group Presentations