Evens norm, transfers and characteristic classes for extraspecial p-groups
| dc.creator | Minh, Pham Anh | |
| dc.date | 2009-03-28 | |
| dc.date.accessioned | 2026-07-07T12:57:39Z | |
| dc.date.available | 2026-07-07T12:57:39Z | |
| dc.description | Let P be the extraspecial p-group of order p^{2n+1}, of p-rank n+1, and of exponent p if p>2. Let Z be the center of P and let kappa_{n,r} be the characteristic classes of degree 2^n - 2^r (resp. 2(p^n-p^r)) for p=2 (resp. p>2), 0 <= r <= n-1, of a degree p^n faithful irreducible representation of P. It is known that, modulo nilradical, the iotath powers of the kappa_{n,r}'s belong to T=Im(inf: H^*(P/Z,F_p)/sqrt{0} --> H^*(P,F_p)/sqrt{0}), with iota= 1 if p=2, iota= p if p>2. We obtain formulae in H^*(P,F_p)/sqrt{0} relating the kappa_{n,r}^iota terms to the ones of fewer variables. For p>2 and for a given sequence r_0,...,r_{n-1} of non-negative integers, we also prove that, modulo-nilradical, the element prod_{r_i}kappa^{r_i}_{n,i} belongs to T if and only if either r_0 >= 2, or all the r_i are multiple of p. This gives the determination of the subring of invariants of the symplectic group Sp_{2n}(F_p) in T. | |
| dc.description | (died 23 October 2004) This is the version published by Geometry & Topology Monographs on | |
| dc.identifier | https://arxiv.org/abs/0903.4973 | |
| dc.identifier | http://arxiv.org/abs/0903.4973 | |
| dc.identifier | Geom. Topol. Monogr. 11 (2007) 179-200 | |
| dc.identifier | doi:10.2140/gtm.2007.11.179 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225004 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 20J06, 55S10 | |
| dc.title | Evens norm, transfers and characteristic classes for extraspecial p-groups | |
| dc.type | text |