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Monodromy Group

A technically defined Group characterizing a system of linear differential equations

y_j'=\sum_{k=1}^n a_{jk}(x)y_k

for $j=1$, ..., $n$, where $a_{jk}$ are Complex Analytic Functions of $x$ in a given Complex Domain.

See also Hilbert's 21st Problem, Riemann P-Series


Iyanaga, S. and Kawada, Y. (Eds.). ``Monodromy Groups.'' §253B in Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 793, 1980.

© 1996-9 Eric W. Weisstein