dc.contributor.author
Mundet i Riera, I.
dc.date.accessioned
2024-05-06T09:54:23Z
dc.date.accessioned
2024-09-19T14:28:09Z
dc.date.available
2024-05-06T09:54:23Z
dc.date.available
2024-09-19T14:28:09Z
dc.date.issued
2024-04-19
dc.identifier.uri
http://hdl.handle.net/2072/537560
dc.description.abstract
We define the discrete degree of symmetry disc-sym(X) of a closed n-manifold X as the biggest m≥0 such that X supports an effective action of (Z/r)m for arbitrarily big values of r. We prove that if X is connected then disc-sym(X)≤3n/2. We propose the question of whether for every closed connected n-manifold X the inequality disc-sym(X)≤n holds true, and whether the only closed connected n-manifold X for which disc-sym(X)=n is the torus Tn. We prove partial results providing evidence for an affirmative answer to this question. © The Author(s) 2024.
eng
dc.description.sponsorship
Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. This research was partially supported by the grant PID2019-104047GB-I00 from the Spanish Ministeri de Ciència i Innovació. Partial support is also acknowledged from the Spanish State Research Agency, through the Severo Ochoa and María de Maeztu Program for Centers and Units of Excellence in R &D (CEX2020-001084-M).
dc.format.extent
38 p.
cat
dc.publisher
Birkhauser
cat
dc.relation.ispartof
Transformation Groups
cat
dc.rights
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: https://creativecommons.org/licenses/by/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Symmetry manifolds, Closed n-manifold X, Disc-sym,
cat
dc.title
Discrete Degree of Symmetry of Manifolds
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/publishedVersion
cat
dc.identifier.doi
10.1007/s00031-024-09858-z
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
