Chern classes and extraspecial groups
نویسندگان
چکیده
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...
متن کاملTRANSFER AND CHERN CLASSES FOR EXTRASPECIAL p-GROUPS
In the cohomology ring of an extraspecial p-group, the subring generated by Chern classes and transfers is studied. This subring is strictly larger than the Chern subring, but still not the whole cohomology ring, even modulo nilradical. A formula is obtained relating Chern classes to transfers. Introduction Methods to determine the cohomology ring of a finite group almost always presuppose that...
متن کاملCHERN CLASSES AND THE EXTRASPECIAL p-GROUP OF ORDER p5 AND EXPONENT p
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. Finall...
متن کاملChern classes of compactifications of reductive groups
In this paper, I construct noncompact analogs of the Chern classes of equivariant vector bundles over complex reductive groups. Then “Chern classes” of the tangent bundle are used to carry over to the case of an arbitrary reductive group some of the well-known results that hold for a complex torus. One of the results of this paper is a formula for the Chern classes of all regular equivariant co...
متن کاملESSENTIAL COHOMOLOGY AND EXTRASPECIAL p-GROUPS
Let p be an odd prime number and let G be an extraspecial pgroup. The purpose of the paper is to show that G has no non-zero essential mod-p cohomology (and in fact that H∗(G, Fp) is Cohen-Macaulay) if and only if |G| = 27 and exp(G) = 3.
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ژورنال
عنوان ژورنال: Manuscripta Mathematica
سال: 1995
ISSN: 0025-2611,1432-1785
DOI: 10.1007/bf02567806