Sub-APS of groups

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This article gives a basic definition in the following area: APS theory
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BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]


Let (G,\Phi) be an APS of groups. A sub-APS H of G is, for every n, a subgroup H_n of G_n such that \Phi_{m,n}(g,h) \in H_{m+n} whenever g \in H_m, h \in H_n. Thus, H can be viewed as an APS of groups, in its own right.