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Cascade Product of Permutation Groups

Egri-Nagy, Attila...

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Cascade Product of Permutation Groups by Egri-Nagy, Attila ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	01-08-2023
Summary	Motivated by computational efficiency in algebraic automata theory here we define the cascade product of permutation groups as an external product, as a generic extension. It is the most general hierarchical product that uses arbitrary total functions to combine a linearly ordered set of permutation groups. Algebraically speaking, cascade products are explicitly constructed substructures of the iterated wreath product. We show how direct, semidirect and wreath products can be described as cascade products and we also discuss examples of composite groups that can only be constructed exactly as generic extensions by cascade products. The cascade construction naturally generalizes to the transformation semigroup case by leaving out the details of defining inverse operations.
ISBN	-
Item Type	Article
File Type	pdf
File Size	30.00 KB
Language	English
Subjects	-
Charge Per Copy	MYR 0.01
Available copies	1
Total read	-
URL	http://arxiv.org/abs/1303.0091

Citation

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AMA 11th EditionReferences

Egri-Nagy, Attila. Cascade Product of Permutation Groups. Australian National University. August 01, 2023. Accessed November 21, 2024. https://online.provdatabase.com/cite/9847

APA 7th EditionReferences

Egri-Nagy, Attila. (2023). Cascade Product of Permutation Groups. Australian National University. https://online.provdatabase.com/cite/9847

Chicago 17th EditionReferences

Egri-Nagy, Attila. Cascade Product of Permutation Groups. Australian National University. 2023. https://online.provdatabase.com/cite/9847

HarvardReferences

Egri-Nagy, Attila. (2023). Cascade Product of Permutation Groups. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/9847. (Accessed 21 November 2024).

Harvard AustraliaReferences

Egri-Nagy, Attila, 2023, Cascade Product of Permutation Groups, Australian National University, viewed 21 November 2024, <https://online.provdatabase.com/cite/9847>

MLA 9th EditionWorks Cited

Egri-Nagy, Attila. Cascade Product of Permutation Groups. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/9847.

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