Advanced search

Browse by subject

Browse by provider

Browse by language

Content Details
Normal View
CIP View

Zeta functions of virtually nilpotent gr...

Sulca, Diego...

Free

Share this content

Zeta functions of virtually nilpotent groups by Sulca, Diego ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	02-08-2023
Summary	We prove that the subgroup zeta function and the normal zeta function of a finitely generated virtually nilpotent group are finite sums of Euler products of cone integrals over $\mathbb{Q}$ and we deduce from this that they have rational abscissa of convergence and some meromorphic continuation. We also define Mal'cev completions of a finitely generated virtually nilpotent group and we prove that the subgroup growth and the normal subgroup growth of the latter are invariants of its $\mathbb{Q}$-Mal'cev completion.
ISBN	-
Item Type	Article
File Type	pdf
File Size	30.00 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1205.4464

Citation

Review the full bibliography data and make any necessary corrections before using. Always consult your library resources for the exact formatting and punctuation guidelines.

AMA 11th EditionReferences

Sulca, Diego. Zeta functions of virtually nilpotent groups. Australian National University. August 02, 2023. Accessed August 10, 2025. https://online.provdatabase.com/cite/9614

APA 7th EditionReferences

Sulca, Diego. (2023). Zeta functions of virtually nilpotent groups. Australian National University. https://online.provdatabase.com/cite/9614

Chicago 17th EditionReferences

Sulca, Diego. Zeta functions of virtually nilpotent groups. Australian National University. 2023. https://online.provdatabase.com/cite/9614

HarvardReferences

Sulca, Diego. (2023). Zeta functions of virtually nilpotent groups. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/9614. (Accessed 10 August 2025).

Harvard AustraliaReferences

Sulca, Diego, 2023, Zeta functions of virtually nilpotent groups, Australian National University, viewed 10 August 2025, <https://online.provdatabase.com/cite/9614>

MLA 9th EditionWorks Cited

Sulca, Diego. Zeta functions of virtually nilpotent groups. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/9614.

Share this eBook