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On normal subgroups of the braided Thomp...

Zaremsky, Matthew C....

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On normal subgroups of the braided Thompson groups by Zaremsky, Matthew C. B. ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	01-09-2023
Summary	We inspect the normal subgroup structure of the braided Thompson groups Vbr and Fbr. We prove that every proper normal subgroup of Vbr lies in the kernel of the natural quotient Vbr \onto V, and we exhibit some families of interesting such normal subgroups. For Fbr, we prove that for any normal subgroup N of Fbr, either N is contained in the kernel of Fbr \onto F, or else N contains [Fbr,Fbr]. We also compute the Bieri-Neumann-Strebel invariant Sigma^1(Fbr), which is a useful tool for understanding normal subgroups containing the commutator subgroup.
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/1403.8132

Citation

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AMA 11th EditionReferences

Zaremsky, Matthew C. B.. On normal subgroups of the braided Thompson groups. Australian National University. September 01, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/23290

APA 7th EditionReferences

Zaremsky, Matthew C. B.. (2023). On normal subgroups of the braided Thompson groups. Australian National University. https://online.provdatabase.com/cite/23290

Chicago 17th EditionReferences

Zaremsky, Matthew C. B.. On normal subgroups of the braided Thompson groups. Australian National University. 2023. https://online.provdatabase.com/cite/23290

HarvardReferences

Zaremsky, Matthew C. B.. (2023). On normal subgroups of the braided Thompson groups. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/23290. (Accessed 20 September 2024).

Harvard AustraliaReferences

Zaremsky, Matthew C. B., 2023, On normal subgroups of the braided Thompson groups, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/23290>

MLA 9th EditionWorks Cited

Zaremsky, Matthew C. B.. On normal subgroups of the braided Thompson groups. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/23290.

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