CHERN CLASSES AND THE EXTRASPECIAL p-GROUP OF ORDER p5 AND EXPONENT p
نویسنده
چکیده
For p an odd prime, the cohomology ring of the extraspecial p-group of order p5 and exponent p is investigated. A presentation is obtained for the subquotient generated by Chern classes, modulo nilradical. Moreover, it is proved that, for every extraspecial p-group of exponent p, the top Chern classes of the irreducible representations do not generate the Chern subring modulo nilradical. Finally, a related question about symplectic invariants is discussed, and is solved for Sp4(Fp).
منابع مشابه
CHERN CLASSES AND EXTRASPECIAL GROUPS OF ORDER p
A presentation is obtained for the Chern subring modulo nilradical of both extraspecial p-groups of order p5, for p an odd prime. Moreover, it is proved that, for every extraspecial p-group of exponent p, the top Chern classes of the irreducible representations do not generate the Chern subring modulo nilradical. Finally, a related question about symplectic invariants is discussed, and solved f...
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