Chow rings of nonabelian p-groups of order p3

Nobuaki Yagita

doi:10.2969/jmsj/06420507

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Chow rings of nonabelian p-groups of order p³

Nobuaki Yagita

著者情報

キーワード: Chow ring, motivic cohomology, extraspecial p-groups

ジャーナルフリー

2012 年 64 巻 2 号 p. 507-531

DOI https://doi.org/10.2969/jmsj/06420507

詳細

抄録

Let G be a nonabelian p group of order p³ (i.e., extraspecial p-group), and BG its classifying space. Then CH^*(BG) ≅ H^2*(BG) where CH^*(–) is the Chow ring over the field k = C. We also compute mod(2) motivic cohomology and motivic cobordism of BQ₈ and BD₈.