Please use this identifier to cite or link to this item: http://dx.doi.org/10.18419/opus-11412
Authors: Krauß, Nora
Title: Descriptions of some double Burnside rings
Issue Date: 2017
metadata.ubs.publikation.typ: Abschlussarbeit (Master)
metadata.ubs.publikation.seiten: xxii, 175
URI: http://elib.uni-stuttgart.de/handle/11682/11429
http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-114299
http://dx.doi.org/10.18419/opus-11412
metadata.ubs.bemerkung.extern: Zu §4 ist eine Veröffentlichung erschienen: Nora Krauß, "The integral double Burnside ring of the symmetric group S_3", pp. 79-101, Irish Mathematical Society Bulletin, no. 86. Die Veröffentlichung der Masterarbeit geschieht mit freundlicher Genehmigung der Irish Mathematical Society.
Abstract: The double Burnside R-algebra B_R(G,G) of a finite group G with coefficients in a commutative ring R has been introduced by S. Bouc. It is R-linearly generated by finite (G,G)-bisets, modulo a relation identifying disjoint union and sum. Its multiplication is induced by the tensor product. It contains the bifree double Burnside R-algebra B_R^Delta(G,G) generated by bifree finite (G,G)-bisets. Let S_n denote the symmetric group on n letters. For R in {Q, Z, Z_(2), F_2, Z_(3), F_3}, we calculate B_R(S_3,S_3) and B_R^Delta(S_4,S_4).
Appears in Collections:08 Fakultät Mathematik und Physik

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