9 citations · 12 across the 12 of their papers we have counts for
14 papers
Cohomology of p-groups of nil potency class smaller than p
Antonio Díaz Ramos, Oihana Garaialde Ocaña, Jon González-Sánchez
Let be a prime number, let be an integer and let be a -generated finite -group of nilpotency class smaller than . Then the number of possible isomorphism types…
A cohomological criterion for -solvability
Jon González-Sánchez, Joan Tent
Let be a finite group, a prime and a Sylow -subgroup of . In this note we give a cohomological criterion for the -solvability of depending on the cohomolog…
Finite p-groups with small automorphism group
Jon Gonzalez-Sanchez, Andrei Jaikin-Zapirain
For each prime we construct a family of finite -groups such that $|\Aut (G_i)|/|G_i|$ goes to , as goes to infinity. This disproves a well-known conjecture…
Hausdorff dimension in -analytic profinite groups
Gustavo A. Fernández-Alcober, Eugenio Giannelli, Jon González-Sánchez
We study the Hausdorff dimension of R-analytic subgroups in an R-analytic profinite group, where R is a pro-p ring whose asso- ciated graded ring is an integral domain. In particul…
Transporting cohomology in Lazard correspondence
Oihana Garaialde Ocaña, Jon Gonzalez-Sanchez
Lazard correspondence provides an isomorphism of categories between finitely generated nilpotent pro- groups of nilpotency class smaller than and finitely generated nilpoten…
A bound on the p-length of p-solvable groups
Jon Gonzalez-Sanchez, Francesca Spagnuolo
Let G be a finite p-solvable group and P a Sylow p-subgroup of G. Suppose that for , then the p-length is bounded by a functi…