### Abstract

Let p be an odd prime. We show that for a simply connected semisimple complex linear algebraic group, if its integral homology has ptorsion, the Chern classes do not generate the Chow ring of its classifying space.

Original language | English |
---|---|

Pages (from-to) | 367-373 |

Number of pages | 7 |

Journal | Proceedings of the American Mathematical Society |

Volume | 138 |

Issue number | 1 |

Publication status | Published - 2010 Jan |

Externally published | Yes |

### Keywords

- Chern class
- Chow ring
- Classifying space
- Motivic cohomology

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

*Proceedings of the American Mathematical Society*,

*138*(1), 367-373.

**Chern subrings.** / Kameko, Masaki; Yagita, Nobuaki.

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 138, no. 1, pp. 367-373.

}

TY - JOUR

T1 - Chern subrings

AU - Kameko, Masaki

AU - Yagita, Nobuaki

PY - 2010/1

Y1 - 2010/1

N2 - Let p be an odd prime. We show that for a simply connected semisimple complex linear algebraic group, if its integral homology has ptorsion, the Chern classes do not generate the Chow ring of its classifying space.

AB - Let p be an odd prime. We show that for a simply connected semisimple complex linear algebraic group, if its integral homology has ptorsion, the Chern classes do not generate the Chow ring of its classifying space.

KW - Chern class

KW - Chow ring

KW - Classifying space

KW - Motivic cohomology

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UR - http://www.scopus.com/inward/citedby.url?scp=77951440496&partnerID=8YFLogxK

M3 - Article

VL - 138

SP - 367

EP - 373

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 1

ER -