arXiv:1503.01385 Abstract | arXiv Analytics

arXiv:1503.01385 [math.GR]Abstract References Reviews Resources

Every compact group can have a non-measurable subgroup

Published 2015-03-04Version 1

We show that it is consistent with ZFC that every compact group has a non-Haar-measurable subgroup. In addition, we demonstrate a natural construction, and we conjecture that this construction always produces a non-measurable subgroup of a given compact group. We prove that this is so in the Abelian case.

Comments: 5 pages

Categories: math.GR, math.GN

Keywords: compact group, non-measurable subgroup, natural construction, abelian case

Related articles: Most relevant | Search more

arXiv:1102.4353 [math.GR] (Published 2011-02-21)

Word-Induced Measures on Compact Groups

Gene S. Kopp, John D. Wiltshire-Gordon

arXiv:2301.09847 [math.GR] (Published 2023-01-24)

Non-degeneracy results for (multi-)pushouts of compact groups

Alexandru Chirvasitu

arXiv:1209.1745 [math.GR] (Published 2012-09-08, updated 2015-08-14)

Random walks in compact groups