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As such rulers welcome corporate capitalism, they may seed some elements of ordered, liberal democracy in ways they don't intend.
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We also define an index set J such that (x_{j}^{text {ordered}}|jin J) is the jth element of ordered set X ordered.
The number of elements of order 7 in G is m=120t·6=720t.
Hence, n7(G)=8t and 7∤t, so the number of elements of order 7 in G is m=8t·6=48t.
By the structure of D ( G ), G has no elements of order 15, neither does H.
As Γ only has finite order elements of orders 2 and 3, the same is true for Γ 1 ( n ).
If n11(H)=12, then the number m of elements of order 11 in G is 120 < m < 61440 and 10|m, but m ∉ nse(G), which is a contradiction.
Let ω(G) denote the set of element orders of G. Let m i (G):=|{g ∈ G|the order of g isi}| (m i for short) be the number of elements of order i, and let nse(G):={m i (G |i ∈ ω(G)} be the set of sizes of elements with the same order.
A group G is called a C p, p -group if and only if p ∈ π ( G ) and the centralizers of its elements of order p in G are p-groups.
contains elements of order five, therefore it is noncrystallographic in three dimensions; the (minimal) crystallographic representation of it is six-dimensional (Levitov & Rhyner, 1988 ▶).
This discordance may be particularly important during translation of the domain boundaries (link/end segments) that separate elements of higher ordered structure.
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