Three amalgams with remarkable normal subgroup structures

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dc.creatorRattaggi, Diego
dc.date2005-06-15
dc.date.accessioned2026-07-07T05:20:46Z
dc.date.available2026-07-07T05:20:46Z
dc.descriptionWe construct three groups $Λ_1$, $Λ_2$, $Λ_3$, which can all be decomposed as amalgamated products $F_9 \ast_{F_{81}} F_{9}$ and have very few normal subgroups of finite or infinite index. Concretely, $Λ_1$ is a simple group, $Λ_2$ is not simple but has no non-trivial normal subgroup of infinite index, and $Λ_3$ is not simple but has no proper subgroup of finite index.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0506306
dc.identifierhttp://arxiv.org/abs/math/0506306
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75502
dc.subjectGroup Theory
dc.titleThree amalgams with remarkable normal subgroup structures
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