41 citations · 137 across the 23 of their papers we have counts for
23 papers
Seminar on Quillen's proof of the Quillen-Suslin theorem
Warren Dicks
Revised 1977 seminar handout on Quillen's proof of the 1976 Quillen-Suslin theorem -- that all finitely generated, projective -modules are free. This particular…
An improved proof of the Almost Stability Theorem
Warren Dicks
In 1989, Dicks and Dunwoody proved the Almost Stability Theorem, which has among its corollaries the Stallings-Swan theorem that groups of cohomological dimension one are free. In…
A graph-theoretic proof for Whitehead's second free-group algorithm
Warren Dicks
J.H.C. Whitehead's second free-group algorithm determines whether or not two given elements of a free group lie in the same orbit of the automorphism group of the free group. The a…
On Whitehead's first free-group algorithm, cutvertices, and free-product factorizations
Warren Dicks
Let be any finite-rank free group, and be any finite subset of , where . By an -allocating -factorization we mea…
A mnemonic for the graded-case Golod-Shafarevich inequality
David Anick, Warren Dicks
We draw attention to an easy-to-remember explanation for the graded-case inequality of Golod and Shafarevich. We review some of the classic material on this inequality.
Left relatively convex subgroups
Yago Antolín, Warren Dicks, Zoran Sunic
Let G be a group and H be a subgroup of G. We say that H is left relatively convex in G if the left G-set G/H has at least one G-invariant order; when G is left orderable, this hol…