2 citations · 2 across the 4 of their papers we have counts for
4 papers
Algebraic Structures on Graphs Joined by Edges
Daniel Pinzon, Daniel Pragel, Joshua Roberts
Let the join of two graphs be the union of two disjoint graphs connected by edges in a one-to-one manner. In previous work by Gyurov and Pinzon, which generalized the results o…
Generators for Group Homology and a Vanishing Conjecture
Joshua Roberts
Letting be a finitely-presented group, Hopf's formula expresses the second integral homology of in terms of and . Expanding on previous work, we explain how to f…
Unstable analogues of the Lichtenbaum-Quillen conjecture
Marian Anton, Joshua Roberts
This survey is mostly concerned with unstable analogues of the Lichtenbaum-Quillen Conjecture. The Lichtenbaum-Quillen Conjecture (now implied by the Voevodsky-Rost Theorem) attemp…
An algorithm for low dimensional group homology
Joshua Roberts
Given a finitely presented group , Hopf's formula expresses the second integral homology of in terms of generators and relators. We give an algorithm that exploits Hopf's fo…