Mazza, Nadia (2008) *Connected components of the category of elementary abelian $p$-subgroups.* Journal of Algebra, 320 (12). pp. 4242-4248. ISSN 0021-8693

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Official URL: http://dx.doi.org/10.1016/j.jalgebra.2008.07.028

## Abstract

We determine the maximal number of conjugacy classes of maximal elementary abelian subgroups of rank $2$ in a finite $p$-group $G$, for an odd prime $p$. Namely, it is $p$ if $G$ has rank at least $3$ and it is $p+1$ if $G$ has rank $2$. More precisely, if $G$ has rank $2$, there are exactly $1,~2,~p+1$, or possibly $3$ classes for some $3$-groups of maximal nilpotency class.

Item Type: | Article |
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Journal or Publication Title: | Journal of Algebra |

Additional Information: | The final, definitive version of this article has been published in the Journal, Journal of Algebra 320 (12), 2008, © ELSEVIER. |

Uncontrolled Keywords: | p-groups ; Elementary abelian p-subgroups ; Posets of p-subgroups ; Group of endotrivial modules |

Subjects: | Q Science > QA Mathematics |

Departments: | Faculty of Science and Technology > Mathematics and Statistics |

ID Code: | 20812 |

Deposited By: | Dr Nadia Mazza |

Deposited On: | 03 Dec 2008 10:27 |

Refereed?: | No |

Published?: | Published |

Last Modified: | 20 Oct 2016 01:21 |

Identification Number: | |

URI: | http://eprints.lancs.ac.uk/id/eprint/20812 |

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