Elementary amenable groups of finite hirsch length are locally-finite by virtually-solvable. Hillman, J. A. & Linnell, P. A. Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 52(2):237–241, April, 1992. ![Elementary amenable groups of finite hirsch length are locally-finite by virtually-solvable [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper doi abstract bibtex If G is an elementary amenable group of finite Hirsch length h , then the quotient of G by its maximal locally finite normal subgroup has a maximal solvable normal subgroup, of derived length and index bounded in terms of h .
@article{hillman_elementary_1992,
title = {Elementary amenable groups of finite hirsch length are locally-finite by virtually-solvable},
volume = {52},
issn = {0263-6115},
url = {https://www.cambridge.org/core/product/identifier/S1446788700034376/type/journal_article},
doi = {10.1017/S1446788700034376},
abstract = {If G is an elementary amenable group of finite Hirsch length h , then the quotient of G by its maximal locally finite normal subgroup has a maximal solvable normal subgroup, of derived length and index bounded in terms of h .},
language = {en},
number = {2},
urldate = {2020-12-14},
journal = {Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics},
author = {Hillman, J. A. and Linnell, P. A.},
month = apr,
year = {1992},
pages = {237--241},
}
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