On Three-Dimensional Space Groups

Simple item page
dc.creatorConway, John
dc.creatorFriedrichs, Olaf Delgado
dc.creatorHuson, Daniel H.
dc.creatorThurston, William P.
dc.date1999-11-23
dc.date.accessioned2026-07-07T05:31:54Z
dc.date.available2026-07-07T05:31:54Z
dc.descriptionAn entirely new and independent enumeration of the crystallographic space groups is given, based on obtaining the groups as fibrations over the plane crystallographic groups, when this is possible. For the 35 ``irreducible'' groups for which it is not, an independent method is used that has the advantage of elucidating their subgroup relationships. Each space group is given a short ``fibrifold name'' which, much like the orbifold names for two-dimensional groups, while being only specified up to isotopy, contains enough information to allow the construction of the group from the name.
dc.description26 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/math/9911185
dc.identifierhttp://arxiv.org/abs/math/9911185
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79469
dc.subjectMetric Geometry
dc.subjectGeometric Topology
dc.subject20H15, 51F15
dc.titleOn Three-Dimensional Space Groups
dc.typetext

Files

Collections

arXiv