Graham Higman’s PORC Conjecture

被引：0
作者：
Vaughan-Lee M. [1 ]
机构：
[1] Christ Church, Oxford
来源：
Jahresbericht der Deutschen Mathematiker-Vereinigung | 2012年 / 114卷 / 2期
关键词：
p-Groups; PORC;
D O I：
10.1365/s13291-012-0039-x
中图分类号：
学科分类号：
摘要：
We survey the history of Graham Higman’s PORC conjecture concerning the form of the function f(pn) enumerating the number of groups of order pn. The conjecture is that for a fixed n there is a finite set of polynomials in p, g1(p), g2(p),…,gk(p), and a positive integer N, such that for each prime p, f(pn)=gi(p) for some i (1≤i≤k) with the choice of i depending on the residue class of p modulo N. We describe some properties of a group recently discovered by Marcus du Sautoy which has major implications for the PORC conjecture. © 2012, Deutsche Mathematiker-Vereinigung and Springer Verlag.
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页码：89 / 106
页数：17
相关论文
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