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The ideal-valued index for a dihedral gr...

Blagojević, Pavle V...

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The ideal-valued index for a dihedral group action, and mass partition by two hyperplanes by Blagojević, Pavle V. M. ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	28-07-2023
Summary	We compute the complete Fadell-Husseini index of the 8 element dihedral group D_8 acting on S^d \times S^d, both for F_2 and for integer coefficients. This establishes the complete goup cohomology lower bounds for the two hyperplane case of Gr"unbaum's 1960 mass partition problem: For which d and j can any j arbitrary measures be cut into four equal parts each by two suitably-chosen hyperplanes in R^d? In both cases, we find that the ideal bounds are not stronger than previously established bounds based on one of the maximal abelian subgroups of D_8.
ISBN	-
Item Type	Book
File Type	pdf
File Size	37.08 KB
Language	Bahasa Melayu
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/0704.1943

Citation

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AMA 11th EditionReferences

Blagojević, Pavle V. M.. The ideal-valued index for a dihedral group action, and mass partition by two hyperplanes. N.A. July 28, 2023. Accessed September 17, 2024. https://online.provdatabase.com/cite/3365

APA 7th EditionReferences

Blagojević, Pavle V. M.. (2023). The ideal-valued index for a dihedral group action, and mass partition by two hyperplanes. N.A. https://online.provdatabase.com/cite/3365

Chicago 17th EditionReferences

Blagojević, Pavle V. M.. The ideal-valued index for a dihedral group action, and mass partition by two hyperplanes. N.A. 2023. https://online.provdatabase.com/cite/3365

HarvardReferences

Blagojević, Pavle V. M.. (2023). The ideal-valued index for a dihedral group action, and mass partition by two hyperplanes. [Online]. N.A. Available from: https://online.provdatabase.com/cite/3365. (Accessed 17 September 2024).

Harvard AustraliaReferences

Blagojević, Pavle V. M., 2023, The ideal-valued index for a dihedral group action, and mass partition by two hyperplanes, N.A, viewed 17 September 2024, <https://online.provdatabase.com/cite/3365>

MLA 9th EditionWorks Cited

Blagojević, Pavle V. M.. The ideal-valued index for a dihedral group action, and mass partition by two hyperplanes. N.A, 2023. PROV Database, https://online.provdatabase.com/cite/3365.

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