On p-periodicity in the Farrell cohomology of Sp(p-1,Z[1/n])
Cornelia M. Busch
Abstract
We describe isomorphism patterns in the p-primary part of the Farrell cohomology ring H*(Sp(p-1,Z[1/n]),Z) for any odd prime p and suitable integers 0≠ n∈ Z, where Sp(p-1,Z[1/n]) denotes the group of symplectic (p-1)× (p-1)--matrices. Moreover, we determine the precise p-period of this ring.
Create a lesson
Related papers
Property R∞ for Artin and Coxeter groups whose outer automorphisms are length-preserving
Ignat Soroko
DL, DQ Spectrum and Eigenvalue-free Interval of Cayley Graphs over Finite Nilpotent Groups
Pallabi Manna, Santanu Mandal
On p-groups with one nonlinear codegree
Jiwei Zheng, Heng Lv
Classes of Subgroups of a finite group with isomorphic quotient groups
Tushar Halder, Sachin Ballal
Cohomology and multiplicative gaps for quasi-isometries of nilpotent groups
Mayukh Mukherjee, Soumyadeb Samanta, Soumyadip Thandar
On the number of conjugacy classes of finite solvable groups of order divisible by p2
Thomas Michael Keller