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On the divisibility of $#\Hom(\Gamma,G)$...

Villegas, Fernando R...

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On the divisibility of $#\Hom(\Gamma,G)$ by $|G| by Villegas, Fernando Rodriguez ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	27-07-2023
Summary	We extend and reformulate a result of Solomon on the divisibility of the title. We show, for example, that if $\Gamma$ is a finitely generated group, then $\|G\|$ divides $#\Hom(\Gamma,G)$ for every finite group $G$ if and only if $\Gamma$ has infinite abelianization. As a consequence we obtain some arithmetic properties of the number of subgroups of a given index in such a group $\Gamma$.
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/1105.6066

Citation

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AMA 11th EditionReferences

Villegas, Fernando Rodriguez. On the divisibility of $#\Hom(\Gamma,G)$ by $|G|. Australian National University. July 27, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/4995

APA 7th EditionReferences

Villegas, Fernando Rodriguez. (2023). On the divisibility of $#\Hom(\Gamma,G)$ by $|G|. Australian National University. https://online.provdatabase.com/cite/4995

Chicago 17th EditionReferences

Villegas, Fernando Rodriguez. On the divisibility of $#\Hom(\Gamma,G)$ by $|G|. Australian National University. 2023. https://online.provdatabase.com/cite/4995

HarvardReferences

Villegas, Fernando Rodriguez. (2023). On the divisibility of $#\Hom(\Gamma,G)$ by $|G|. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/4995. (Accessed 20 September 2024).

Harvard AustraliaReferences

Villegas, Fernando Rodriguez, 2023, On the divisibility of $#\Hom(\Gamma,G)$ by $|G|, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/4995>

MLA 9th EditionWorks Cited

Villegas, Fernando Rodriguez. On the divisibility of $#\Hom(\Gamma,G)$ by $|G|. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/4995.

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