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- W2034796806 abstract "In preceding papers it was shown that the decomposition of group functions by permutation cascades is a significant tool for solving problems of the cascade decomposition of multivalued functions. In this paper decomposition of group functions is treated in a more general way. By this investigation the most important results are the followings. For every group H there exists a group G such that H is decomposable over G . It is shown that each simple, nonabelian group is decomposable over itself. For every group G there exists a maximal subgroup G′ of G such that G′ is decomposable over G . An algorithm is developed which solves or reduces the problem whether f is decomposable over G for every group G and every group function f in G . It is shown by examples that the most important cases considered in other papers can be solved by the algorithm too." @default.
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- W2034796806 date "1976-07-01" @default.
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- W2034796806 title "A theory of the cascade decomposition of group functions" @default.
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- W2034796806 doi "https://doi.org/10.1016/s0019-9958(76)90397-1" @default.
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