The Haar measure of a profinite n-ary group

M. Shahryari; M. Rostami

doi:10.1142/s0219498825502196

The Haar measure of a profinite n-ary group

M. Shahryari^*, M. Rostami

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that every profinite n-ary group (G,f) = der,b(G,•) has a unique Haar measure mp and further for every measurable subset A ⊆ G, we have mp(A) = m(A) = (n - 1)m - (A), where m and m - are the normalized Haar measures of the profinite groups (G,•) and the Post cover G - , respectively.

Original language	English
Article number	2550219
Journal	Journal of Algebra and Its Applications
DOIs	https://doi.org/10.1142/s0219498825502196
Publication status	Published - Mar 22 2024
Externally published	Yes

Keywords

Haar measure
n -ary groups
Polyadic groups
profinite groups and polyadic groups

ASJC Scopus subject areas

Algebra and Number Theory
Applied Mathematics

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10.1142/s0219498825502196

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AU - Rostami, M.

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AB - We prove that every profinite n-ary group (G,f) = der,b(G,•) has a unique Haar measure mp and further for every measurable subset A ⊆ G, we have mp(A) = m(A) = (n - 1)m - (A), where m and m - are the normalized Haar measures of the profinite groups (G,•) and the Post cover G - , respectively.

KW - Haar measure

KW - n -ary groups

KW - Polyadic groups

KW - profinite groups and polyadic groups

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The Haar measure of a profinite n-ary group

Abstract

Keywords

ASJC Scopus subject areas

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