Imprimitive groups synchronizing a transformation of non-uniform kernel

In this paper, we provide a method to determine when transitive imprimitive groups synchronize a transformation of non-uniform kernel, that is, we give the condition of ⟨ G , α ⟩ being a synchronizing semigroup where G is transitive imprimitive and α is transformation of non-uniform kernel.

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Bibliographic Details
Published in:Indian journal of pure and applied mathematics 2021-09, Vol.52 (3), p.816-821
Main Authors: Li, Wangwei, Li, Xianhua
Format: Article
Language:English
Subjects:
Applications of Mathematics
Kernels
Mathematics
Mathematics and Statistics
Numerical Analysis
Original Research
Synchronism
Transformations
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Description
Summary:In this paper, we provide a method to determine when transitive imprimitive groups synchronize a transformation of non-uniform kernel, that is, we give the condition of ⟨ G , α ⟩ being a synchronizing semigroup where G is transitive imprimitive and α is transformation of non-uniform kernel.
ISSN:0019-5588
0975-7465
DOI:10.1007/s13226-021-00125-5