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A Raiser Of Taxes

This page examines the single verse that closes the first episode in the passage;

Dan 11:20 Then shall stand up in his estate a raiser of taxes in the glory of the kingdom: but within few days he shall be destroyed, neither in anger, nor in battle.

Our "fortress" or static subgroup under action of a generator of an extension field will eventually recover the subgroups of the octal in the orbit induced by the generator "h". What we may note then is that the shorter orbit is reduced to a yet shorter one:

b => hb => ... => d ... => ...
d => hd => ... => c ... => ...
f => hf => ... => g ... => ...

where the orbit "repeats" upon these subgroups. (as from [b,d,f] to [c,d,g] etc;

In operation the seven cycle that permutes the subgroups of the octal also generates a subgroup of the multiplicative group of our extension F.

A "raiser of taxes" is then analogous to these subgroups of the octal as if they were "the glory of the kingdom", in that he sets them up to be as "toll booths" along the "road" traced out by the generator acting on [b,d,f] in it's orbit.

We then have "seven" toll booths in the orbit of [b,d,f] - each corresponding to a subgroup of the northern octal.

The text states that in few days the system is destroyed - neither in anger being overflown or in battle, by the element in the centre between north and south.

What is obvious is that even if the one that rises up"stands in the glory of the kingdom" - i.e. takes upon himself the ability to traverse the orbit by using the seven cycle (as from a subgroup of F*) Then truly so may everyone else - and bypass each toll booth as if they were cosets of the octal.

That said, there is no homomorphism that maps to the subfield of GF(*) in F as the cosets of GF(8)* are additive subgroups themselves:

Then between (within) three booths (few days) in skipping from one coset to another with the same element of the seven cycle, there is shown no morphism to GF(8) from F and truly the attempt to mimic God militarily fails. The vision is yet destroyed, not in anger or battle.


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