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Generalized iterated wreath products of ...

Im, Mee Seong...

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Generalized iterated wreath products of symmetric groups and generalized rooted trees correspondence by Im, Mee Seong ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	06-09-2023
Summary	Consider the generalized iterated wreath product $S_{r_1}\wr \ldots \wr S_{r_k}$ of symmetric groups. We give a complete description of the traversal for the generalized iterated wreath product. We also prove an existence of a bijection between the equivalence classes of ordinary irreducible representations of the generalized iterated wreath product and orbits of labels on certain rooted trees. We find a recursion for the number of these labels and the degrees of irreducible representations of the generalized iterated wreath product. Finally, we give rough upper bound estimates for fast Fourier transforms.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1409.0604

Citation

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AMA 11th EditionReferences

Im, Mee Seong. Generalized iterated wreath products of symmetric groups and generalized rooted trees correspondence. Australian National University. September 06, 2023. Accessed November 13, 2024. https://online.provdatabase.com/cite/23471

APA 7th EditionReferences

Im, Mee Seong. (2023). Generalized iterated wreath products of symmetric groups and generalized rooted trees correspondence. Australian National University. https://online.provdatabase.com/cite/23471

Chicago 17th EditionReferences

Im, Mee Seong. Generalized iterated wreath products of symmetric groups and generalized rooted trees correspondence. Australian National University. 2023. https://online.provdatabase.com/cite/23471

HarvardReferences

Im, Mee Seong. (2023). Generalized iterated wreath products of symmetric groups and generalized rooted trees correspondence. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/23471. (Accessed 13 November 2024).

Harvard AustraliaReferences

Im, Mee Seong, 2023, Generalized iterated wreath products of symmetric groups and generalized rooted trees correspondence, Australian National University, viewed 13 November 2024, <https://online.provdatabase.com/cite/23471>

MLA 9th EditionWorks Cited

Im, Mee Seong. Generalized iterated wreath products of symmetric groups and generalized rooted trees correspondence. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/23471.

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