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Report of the President, Bowdoin College 1935-1936

Date: 1936-01-01

Access: Open access



Random subgroups of Thompson's group F

Date: 2010-01-13

Creator: Sean Cleary, Murray Elder, Andrew Rechnitzer, Jennifer Taback

Access: Open access

We consider random subgroups of Thompson's group F with respect to two natural stratifications of the set of all k-generator subgroups. We find that the isomorphism classes of subgroups which occur with positive density are not the same for the two stratifications. We give the first known examples of persistent subgroups, whose isomorphism classes occur with positive density within the set of k-generator subgroups, for all sufficiently large k. Additionally, Thompson's group provides the first example of a group without a generic isomorphism class of subgroup. Elements of F are represented uniquely by reduced pairs of finite rooted binary trees. We compute the asymptotic growth rate and a generating function for the number of reduced pairs of trees, which we show is D-finite (short for differentiably finite) and not algebraic. We then use the asymptotic growth to prove our density results. © European Mathematical Society.


Leonard Baskin

Date: 1962-01-01

Access: Open access

This catalogue issued in lieu of Bulletin vol. II, no. 1 "Designed by Leonard Baskin. Set in type at the Stinehour Press and printed at the Meriden Gravure Company"--Colophon


Bowdoin Orient, v. 54, no. 17

Date: 1924-11-19

Access: Open access



Bowdoin Orient, v. 54, no. 18

Date: 1924-12-03

Access: Open access



Bowdoin Orient, v. 54, no. 30

Date: 1925-03-25

Access: Open access

The Occident


Bowdoin Orient, v. 54, no. 22

Date: 1925-01-21

Access: Open access



Bowdoin Orient, v. 32, no. 9

Date: 1902-07-10

Access: Open access

Anniversary Issue


Bowdoin Orient, v. 32, no. 23

Date: 1903-01-29

Access: Open access

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