# The integral cohomology rings of some p-groups

Leary, Ian
(1991)
The integral cohomology rings of some p-groups.
*Mathematical Proceedings of the Cambridge Philosophical Society*, 110, (1), 25-32. (doi:10.1017/S0305004100070080).

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## Description/Abstract

We determine the integral cohomology rings of an infinite family of p-groups, for odd primes p, with cyclic derived subgroups. Our method involves embedding the groups in a compact Lie group of dimension one, and was suggested independently by P. H. Kropholler and J. Huebschmann. This construction has also been used by the author to calculate the mod-p cohomology of the same groups and by B. Moselle to obtain partial results concerning the mod-p cohomology of the extra special p-groups

Item Type: | Article |
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Digital Object Identifier (DOI): | doi:10.1017/S0305004100070080 |

ISSNs: | 0305-0041 (print) 1469-8064 (electronic) |

Subjects: | Q Science > QA Mathematics |

Divisions: | Faculty of Social and Human Sciences > Mathematical Sciences > Pure Mathematics |

ePrint ID: | 199295 |

Date Deposited: | 14 Oct 2011 14:20 |

Last Modified: | 27 Mar 2014 19:46 |

URI: | http://eprints.soton.ac.uk/id/eprint/199295 |

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