scholarly journals Galois groups of iterates of some unicritical polynomials

2017 ◽  
Vol 181 (1) ◽  
pp. 57-73 ◽  
Author(s):  
Michael R. Bush ◽  
Wade Hindes ◽  
Nicole R. Looper
Keyword(s):  
Galois Groups ◽  
Unicritical Polynomials

scholarly journals A question for iterated Galois groups in arithmetic dynamics

2020 ◽  
pp. 1-17
Author(s):  
Andrew Bridy ◽  
John R. Doyle ◽  
Dragos Ghioca ◽  
Liang-Chung Hsia ◽  
Thomas J. Tucker
Keyword(s):  
Dynamical System ◽  
Galois Groups ◽  
General Question ◽  
Arithmetic Dynamics ◽  
Polynomial Maps ◽  
Special Cases ◽  
Unicritical Polynomials

Abstract We formulate a general question regarding the size of the iterated Galois groups associated with an algebraic dynamical system and then we discuss some special cases of our question. Our main result answers this question for certain split polynomial maps whose coordinates are unicritical polynomials.

scholarly journals Finite index theorems for iterated Galois groups of unicritical polynomials

2020 ◽  
Vol 374 (1) ◽  
pp. 733-752 ◽  
Author(s):  
Andrew Bridy ◽  
John R. Doyle ◽  
Dragos Ghioca ◽  
Liang-Chung Hsia ◽  
Thomas J. Tucker
Keyword(s):  
Finite Index ◽  
Galois Groups ◽  
Index Theorems ◽  
Unicritical Polynomials

Free pro- $p$ product decompositions of Galois groups

1997 ◽  
Vol 225 (2) ◽  
pp. 245-261 ◽  
Author(s):  
Ido Efrat
Keyword(s):  
Galois Groups

On the calculation of some differential galois groups

1987 ◽  
Vol 87 (1) ◽  
pp. 13-61 ◽  
Author(s):  
Nicholas M. Katz
Keyword(s):  
Galois Groups

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
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