Coclass Graphs of P-Groups
暫譯: P-群的同類圖

Dietrich, Heiko, Eick, Bettina

Coclass Graphs of P-Groups
  • 出版商: Springer
  • 出版日期: 2026-02-17
  • 售價: $6,560
  • 貴賓價: 9.5 折 $6,232
  • 語言: 英文
  • 頁數: 170
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3032175054
  • ISBN-13: 9783032175052
  • 相關分類: 離散數學 Discrete-mathematics

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商品描述

Coclass is a powerful invariant that reveals patterns in the intricate landscape of finite p-groups. This monograph offers a gentle introduction to coclass theory, presenting key developments from the past two decades within a unified framework and discussing open conjectures. Alongside a systematic exposition of established results, the book presents new findings and some corrections to the literature. Special emphasis is placed on coclass graphs and their remarkable periodic structures. Intended for readers with a graduate-level background in group theory and algebra, the book is accessible to newcomers, including graduate students, while also serving as a reliable reference for researchers.

商品描述(中文翻譯)

Coclass 是一個強大的不變量，揭示了有限 p-群複雜景觀中的模式。本專著提供了對 coclass 理論的溫和介紹，呈現過去二十年內的關鍵發展，並在統一的框架中討論未解的猜想。除了系統性地闡述已建立的結果外，本書還提出了新的發現和對文獻的一些修正。特別強調 coclass 圖及其顯著的週期結構。本書適合具有研究生級別群論和代數背景的讀者，對於新手（包括研究生）也相對容易理解，同時也作為研究人員的可靠參考資料。

作者簡介

Heiko Dietrich received his PhD from the TU Braunschweig in 2009. After postdoctoral positions in New Zealand and in Italy, he joined Monash University in Melbourne, where he is now a professor of mathematics. His research lies in computational algebra, especially group theory and Lie theory, with a strong focus on algorithmic and structural aspects of finite groups. He has published over sixty research papers and two software packages. His work includes seven publications and a PhD thesis dedicated to coclass theory.

Bettina Eick received her PhD from the RWTH Aachen in 1996. After research stays in England, Australia and USA, she habilitated at the University of Kassel in 2001 and joined the TU Braunschweig as a professor later that year. Her research covers a wide range of topics in group theory and computational algebra. She has authored over ninety research papers and several software packages. She is one of the founding authors of the SmallGroups library. Coclass theory remains one of her most active research areas today.

作者簡介(中文翻譯)

Heiko Dietrich 於 2009 年在布倫瑞克工業大學 (TU Braunschweig) 獲得博士學位。在紐西蘭和義大利擔任博士後研究員後，他加入了墨爾本的莫納什大學 (Monash University)，目前擔任數學教授。他的研究領域為計算代數，特別是群論和李群論，並強調有限群的演算法和結構方面。他已發表超過六十篇研究論文和兩個軟體套件。他的工作包括七篇專門針對共類理論 (coclass theory) 的出版物和一篇博士論文。

Bettina Eick 於 1996 年在亞琛工業大學 (RWTH Aachen) 獲得博士學位。在英國、澳洲和美國進行研究後，她於 2001 年在卡塞爾大學 (University of Kassel) 獲得資格認證，並於同年晚些時候加入布倫瑞克工業大學 (TU Braunschweig) 擔任教授。她的研究涵蓋群論和計算代數的廣泛主題。她已撰寫超過九十篇研究論文和幾個軟體套件。她是 SmallGroups 函式庫的創始作者之一。共類理論至今仍是她最活躍的研究領域之一。

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