Extraspecial p-groups
نویسندگان
چکیده
منابع مشابه
ESSENTIAL 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.
متن کاملALMOST ALL EXTRASPECIAL p-GROUPS ARE SWAN GROUPS
Let P be an extraspecial p-group which is neither dihedral of order 8, nor of odd order p and exponent p. Let G be a finite group having P as a Sylow p-subgroup. Then the mod-p cohomology ring of G coincides with that of the normalizer NG(P ).
متن کاملCHERN 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 کاملThe Dade group of (almost) extraspecial p-groups
In this paper, we determine a presentation by explicit generators and relations for the Dade group of all (almost) extraspecial p-groups. The proof of the main result uses the cohomological properties of the Tits building corresponding to the natural geometric structure of the lattice of subgroups of such p-groups. AMS Subject Classification : 20C20, 20D15
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...
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 1987
ISSN: 0168-0072
DOI: 10.1016/0168-0072(87)90041-8