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Generalized iterated wreath products of ...

Im, Mee Seong...

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Generalized iterated wreath products of cyclic groups and 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 $\mathbb{Z}_{r_1}\wr \mathbb{Z}_{r_2}\wr \ldots \wr \mathbb{Z}_{r_k}$ where $r_i \in \mathbb{N}$. We prove that the irreducible representations for this class of groups are indexed by a certain type of rooted trees. This provides a Bratteli diagram for the generalized iterated wreath product, a simple recursion formula for the number of irreducible representations, and a strategy to calculate the dimension of each irreducible representation. We calculate explicitly fast Fourier transforms (FFT) for this class of groups, giving literature's fastest FFT upper bound estimate.
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/1409.0603

Citation

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AMA 11th EditionReferences

Im, Mee Seong. Generalized iterated wreath products of cyclic groups and rooted trees correspondence. Australian National University. September 06, 2023. Accessed November 13, 2024. https://online.provdatabase.com/cite/23470

APA 7th EditionReferences

Im, Mee Seong. (2023). Generalized iterated wreath products of cyclic groups and rooted trees correspondence. Australian National University. https://online.provdatabase.com/cite/23470

Chicago 17th EditionReferences

Im, Mee Seong. Generalized iterated wreath products of cyclic groups and rooted trees correspondence. Australian National University. 2023. https://online.provdatabase.com/cite/23470

HarvardReferences

Im, Mee Seong. (2023). Generalized iterated wreath products of cyclic groups and rooted trees correspondence. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/23470. (Accessed 13 November 2024).

Harvard AustraliaReferences

Im, Mee Seong, 2023, Generalized iterated wreath products of cyclic groups and rooted trees correspondence, Australian National University, viewed 13 November 2024, <https://online.provdatabase.com/cite/23470>

MLA 9th EditionWorks Cited

Im, Mee Seong. Generalized iterated wreath products of cyclic groups and rooted trees correspondence. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/23470.

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