3 papers
math.AC2025
Depth and Associated Primes in Group Cohomology
James A. Schafer
It is shown the Connor Conjecture which states the depth of H*(G) is equal to , the minimum value of the dimensions of associated primes is equivalent to the the statement tha…
math.AC2018
On Carlson's Depth Conjecture
James A. Schafer
J.F. Carlson conjectured in 1995 that if G is a finite group and k is a field whose characteristic p divides the order of G that the depth of H*(G,k) equals the minimum of the dime…
math.GR2015
Automorphisms and cohomology
James A. Schafer
Let 1-> H -> G _> Q -> 1 be an exact sequence of groups. In the paper of R. Oliver and J. Ventura, TAMS,362(2009), the following exact sequence was developed for centric extensions…