Computing the Fundamental Group

Question 1

Define free group

Answer 1

Question 2

Define finitely presented group

Answer 2

Question 3

Define free product of groups

Answer 3

Question 4

Define amalgamated product

Answer 4

Question 5

Define maximal tree

Answer 5

Question 6

Define maximal simply connected subspace associated to tree

Answer 6

Question 7

Give algorithm to compute fundamental group

Answer 7

Question 8

State Van Kampen’s Theorem

Answer 8