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Figure 6
Composition table of the groupoid Gβ→α for a Burgers transition. The table is deduced from Table 4[link] according to [({\rm O}_m^{\alpha}, {\rm O}_n^{\alpha})] → [({\rm O}_m^{\alpha}){}^{-1}][{\rm O}_n^{\alpha}] = [\{{\rm O}_q^{\alpha}\}] = {[{\rm O}_q^{\alpha}]} such that [{\rm O}_q^{\alpha}] = αij with α1i ∈ [{\rm O}_m^{\alpha}] and α1j ∈ [{\rm O}_n^{\alpha}]}. Only the indices q of [{\rm O}_q^{\alpha}] are noted in the table ([{\rm O}_m^{\alpha}] and [{\rm O}_n^{\alpha}] are in the first line and first column, respectively). For each operator [{\rm O}_m^{\alpha}] and [{\rm O}_n^{\alpha}], the corresponding variants αi and αj such that [{\rm O}_m^{\alpha}] = {α1i} and [{\rm O}_n^{\alpha}] = {α1j} are also reported.

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ISSN: 2053-2733
Volume 62| Part 1| December 2006| Pages 21-40
doi:10.1107/S010876730503686X
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