### Abstract

Original language | English |
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Title of host publication | Mathematisches Forschungsinstitut Oberwolfach |

Subtitle of host publication | Report No. 37/2016 - Computational Group Theory |

Place of Publication | Germany |

Publisher | Mathematisches Forschungsinstitut Oberwolfach |

Pages | 2140-2141 |

Number of pages | 2 |

Volume | 37/2016 |

Publication status | Published - 2016 |

Event | Computational Group Theory, 2016 - Oberwolfach, Germany Duration: 31 Jul 2016 → 6 Aug 2016 Conference number: 7th |

### Conference

Conference | Computational Group Theory, 2016 |
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Country | Germany |

Period | 31/07/16 → 6/08/16 |

### Cite this

*Mathematisches Forschungsinstitut Oberwolfach: Report No. 37/2016 - Computational Group Theory*(Vol. 37/2016, pp. 2140-2141). Germany: Mathematisches Forschungsinstitut Oberwolfach.

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*Mathematisches Forschungsinstitut Oberwolfach: Report No. 37/2016 - Computational Group Theory.*vol. 37/2016, Mathematisches Forschungsinstitut Oberwolfach, Germany, pp. 2140-2141, Computational Group Theory, 2016, Germany, 31/07/16.

**A short survey on Coclass Graphs.** / Dietrich, Heiko.

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

TY - GEN

T1 - A short survey on Coclass Graphs

AU - Dietrich, Heiko

PY - 2016

Y1 - 2016

N2 - Leedham-Green & Newman [11] defined the coclass of a p-group of order pn and nilpotency class c as r = n−c. The investigation of the p-groups of a fixed coclass led to deep results in p-group theory (see the book of Leedham-Green & McKay), applications (see for example [1, 12]), and generalisations to other algebraic objects (see for example [5, 8]). In the last decade, the focus in coclass theory is on the investigation of the coclass graph G(p, r) associated with the finite p-groups of coclass r. It is conjectured that this infinite graph can be described by a finite subgraph and several “periodic patterns”. The aim of this talk is to give a survey on the known periodicity results, the outstanding problems, and a recent new result for the graph G(p, 1). Some details are given below.

AB - Leedham-Green & Newman [11] defined the coclass of a p-group of order pn and nilpotency class c as r = n−c. The investigation of the p-groups of a fixed coclass led to deep results in p-group theory (see the book of Leedham-Green & McKay), applications (see for example [1, 12]), and generalisations to other algebraic objects (see for example [5, 8]). In the last decade, the focus in coclass theory is on the investigation of the coclass graph G(p, r) associated with the finite p-groups of coclass r. It is conjectured that this infinite graph can be described by a finite subgraph and several “periodic patterns”. The aim of this talk is to give a survey on the known periodicity results, the outstanding problems, and a recent new result for the graph G(p, 1). Some details are given below.

M3 - Conference Paper

VL - 37/2016

SP - 2140

EP - 2141

BT - Mathematisches Forschungsinstitut Oberwolfach

PB - Mathematisches Forschungsinstitut Oberwolfach

CY - Germany

ER -