Click for new scientific resources and news about Corona[COVID-19]

Paper Information

Journal:   INTERNATIONAL JOURNAL OF GROUP THEORY   DECEMBER 2012 , Volume 1 , Number 4; Page(s) 65 To 79.
 
Paper: 

ON GRAHAM HIGMAN'S FAMOUS PORC PAPER

 
 
Author(s):  VAUGHAN LEE MICHAEL*
 
* CHRIST CHURCH, OXFORD, ENGLAND
 
Abstract: 
We investigate Graham Higian's paper Enumerating p-groups, II, in which he formulated his famous PORC conjecture. We are able to simplify some of the theory. In particular, Hageman’s paper contains five pages of homological algebra which he uses in his proof that the number of solutions in a finite field to a finite set of monomial equations is PORC. It turns out that the homological algebra is just razzle dazzle, and can all be replaced by the single observation that if you write the equations as the rows of a matrix then the number of solutions is the product of the elementary divisors in the Smith normal form of the matrix. We obtain the PORC formulae for the number of r-generator groups of p-class two for r£6. In addition, we obtain the PORC formula for the number of p-class two groups of order p8.
 
Keyword(s): PORC, P-GROUP
 
 
References: 
  • ندارد
  •  
 
Click to Cite.
APA: Copy

VAUGHAN LEE, M. (2012). ON GRAHAM HIGMAN'S FAMOUS PORC PAPER. INTERNATIONAL JOURNAL OF GROUP THEORY, 1(4), 65-79. https://www.sid.ir/en/journal/ViewPaper.aspx?id=272851



Vancouver: Copy

VAUGHAN LEE MICHAEL. ON GRAHAM HIGMAN'S FAMOUS PORC PAPER. INTERNATIONAL JOURNAL OF GROUP THEORY. 2012 [cited 2021May10];1(4):65-79. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=272851



IEEE: Copy

VAUGHAN LEE, M., 2012. ON GRAHAM HIGMAN'S FAMOUS PORC PAPER. INTERNATIONAL JOURNAL OF GROUP THEORY, [online] 1(4), pp.65-79. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=272851.



 
  pdf-File
Yearly Visit 39 Persian Abstract
 
Latest on Blog
Enter SID Blog