Ken Thompson's 6-Man Tables

The Ubiquity of Thompson's Group F in Groups of Piecewise Linear Homeomorphisms of the Unit Interval1

In the 1960s, Richard J. Thompson introduced a triple of groups F T G which, among them, supplied: the rst examples of innnite, nitely presented, simple groups 14] (see 6] for published details); a technique for constructing an elementary example of a nitely presented group with an unsolvable word problem 12]; the universal obstruction to a problem in homotopy theory 8]; the rst examples of tor...

ar X iv : m at h / 05 06 34 6 v 1 [ m at h . G R ] 1 7 Ju n 20 05 COMPUTATIONAL EXPLORATIONS IN THOMPSON ’ S GROUP F

Here we describe the results of some computational explorations in Thompson's group F. We describe experiments to estimate the cogrowth of F with respect to its standard finite generating set, designed to address the subtle and difficult question whether or not Thompson's group is amenable. We also describe experiments to estimate the exponential growth rate of F and the rate of escape of symme...

Chapter 9 . Demographic Models : Life Tables , Matrix Models and Rebound Potential

6-Man Chess and Zugzwangs

With 6-man Chess essentially solved, the available 6-man Endgame Tables (EGTs) have been scanned for zugzwang positions where, unusually, having the move is a disadvantage. Review statistics together with some highlights and positions are provided here: the complete information is available on the ICGA website. An outcome of the review is the observation that the definition of zugzwang should b...

A Bell Laboratories Cover Sheet for Technical Memorandum

In the summer of 1979, Center 127 purchased a Mergenthaler Linotron 202, a CRT-based digital phototypesetter. This paper discusses our experience with the device, some of what we have learned about how it operates, and the hardware and software we have developed to permit users to take advantage of its capabilities. Pages Text 11 Other 2 Total 13 No. Figures 5 No. Tables 0 No. Refs. 3 | | | | |...