Solvability of a certain group of the third - order linear differential operators

Authors

CHVALINA Jan MOUČKA Jiří CHVALINOVÁ Ludmila

Year of publication 2012
Type Article in Proceedings
Conference XXX International Colloquium on the Management of Educational Process: Proceedings of abstracts and electronic version of reviewed contributions on CD-ROM
MU Faculty or unit

Faculty of Education

Citation
Field General mathematics
Keywords Sovable group; chain of commutants, linear differential operator of the third order
Description In the contribution there is constructed a certain non/commutative group of ordinary linear differential operatos of the third order and investigated of its sovability in the Galois sense. Using the stabilization of the chain of commutants of the constructed group, multiplication in which is motivated by composition of affine transformations of linear spaces, we have obtained that the mentioned group is solvable.

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