scholarly journals Numerical Computation of Galois Groups

2017 ◽  
Vol 18 (4) ◽  
pp. 867-890 ◽  
Author(s):  
Jonathan D. Hauenstein ◽  
Jose Israel Rodriguez ◽  
Frank Sottile
Keyword(s):  
Numerical Computation ◽  
Galois Groups

scholarly journals GALOIS GROUPS AND AN OBSTRUCTION TO PRINCIPAL GRAPHS OF SUBFACTORS

2007 ◽  
Vol 18 (02) ◽  
pp. 191-202 ◽  
Author(s):  
MARTA ASAEDA
Keyword(s):  
Recent Result ◽  
Galois Group ◽  
Numerical Computation ◽  
Galois Groups ◽  
Jones Index ◽  
Principal Graph ◽  
New Type ◽  
Index Value

The Galois group of the minimal polymonal of a Jones index value gives a new type of obstruction to a principal graph, thanks to a recent result of Etingof, Nikshych, and Ostrik. We show that the sequence of the graphs given by Haagerup as candidates of principal graphs of subfactors, are not realized as principal graphs for 7 < n ≤ 27 using GAP program. We further utilize Mathematica to extend the statement to 27 < n ≤ 55. We conjecture that none of the graphs are principal graphs for all n > 7, and give an evidence using Mathematica for smaller graphs among them for n > 55. The problem for the case n = 7 remains open, however, it is highly likely that it would be realized as a principal graph, thanks to numerical computation by Ikeda.

Groups as Galois Groups

1996 ◽  
Author(s):  
Helmut Volklein
Keyword(s):  
Galois Groups

NUMERICAL COMPUTATION OF SOIL'S BEARING CAPACITY FACTORS

1965 ◽  
Vol 111 (0) ◽  
pp. 14-18
Author(s):  
YORIHIKO OHSAKI ◽  
AKIO HARA
Keyword(s):  
Bearing Capacity ◽  
Numerical Computation
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