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Sam Nead
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Your group $H_n$ is (I believe) called the wicket group by Brendle and Hatcher in their paper Configuration spaces of rings and wickets. They provide a presentation - seein Proposition 3.6 of their paper. They also provide two references that appear closely related; these are Hilden's 1975 paper and Tawn's 2008 paper.

Your group $H_n$ is (I believe) called the wicket group by Brendle and Hatcher in their paper Configuration spaces of rings and wickets. They provide a presentation - see Proposition 3.6 of their paper. They also provide two references that appear closely related; these are Hilden's 1975 paper and Tawn's 2008 paper.

Your group $H_n$ is (I believe) called the wicket group by Brendle and Hatcher in their paper Configuration spaces of rings and wickets. They provide a presentation in Proposition 3.6. They also provide two references that appear closely related; these are Hilden's 1975 paper and Tawn's 2008 paper.

Source Link
Sam Nead
  • 28.2k
  • 5
  • 72
  • 131

Your group $H_n$ is (I believe) called the wicket group by Brendle and Hatcher in their paper Configuration spaces of rings and wickets. They provide a presentation - see Proposition 3.6 of their paper. They also provide two references that appear closely related; these are Hilden's 1975 paper and Tawn's 2008 paper.