PreprintarXiv licencearXiv
A note on maximal subgroups of countable groups
Abstract
We show that for any countable group, the set of maximal subgroups is either countable or has cardinality 2ℵ 0.
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BibTeX
@misc{akhmedov2026note,
title = {{A note on maximal subgroups of countable groups}},
author = {Azer Akhmedov},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.25365},
eprint = {2609.25365},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.25365},
}
RIS
TY - UNPB
TI - A note on maximal subgroups of countable groups
AU - Azer Akhmedov
PY - 2026
DA - 2026/09/21
PB - arXiv
DO - 10.48550/arxiv.2609.25365
UR - https://arxiv.org/abs/2609.25365
AB - We show that for any countable group, the set of maximal subgroups is either countable or has cardinality 2^ℵ _0.
ER -