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SgpDec: cascade (de)compositions of finite transformation semigroups and permutation groups. (English) Zbl 1403.20002
Hong, Hoon (ed.) et al., Mathematical software – ICMS 2014. 4th international congress, Seoul, South Korea, August 5–9, 2014. Proceedings. Berlin: Springer (ISBN 978-3-662-44198-5/pbk). Lecture Notes in Computer Science 8592, 75-82 (2014).
Summary: We describe how the SgpDec computer algebra package can be used for composing and decomposing permutation groups and transformation semigroups hierarchically by directly constructing substructures of wreath products, the so called cascade products.
For the entire collection see [Zbl 1293.65003].

MSC:
20-04 Software, source code, etc. for problems pertaining to group theory
68W30 Symbolic computation and algebraic computation
20B40 Computational methods (permutation groups) (MSC2010)
20M20 Semigroups of transformations, relations, partitions, etc.
20E22 Extensions, wreath products, and other compositions of groups
Software:
SgpDec
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