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Thus it would be very interesting to find out whether every finitely generated residually finite group with decidable word problem embeds into a finitely presented residually finite group.
A finitely generated residually finite group is Hopfian [111].
It is known [15, 21, 38] that a finitely generated recursively presented residually finite group may have undecidable word problem, and hence cannot be embedded into a finitely presented residually finite group.
The problem is that Al Qaeda represents an ideological movement, not a finite group of people.
And, if that's not ominous enough, consider this: "The problem is that Al Qaeda represents an ideological movement, not a finite group of people.
"The problem is that Al Qaeda represents an ideological movement, not a finite group of people," the report said in its executive summary.
Because every finite group is made up of "composition factors"—building blocks that are finite simple groups theorems about simple groups have ramifications for all finite groups.
He said of the C.I.A.'s drone program, "There should be a limited, finite group of people who are targets, and that list should be publicly defensible and available.
G is a (finite) group.
Let be a finite group.
Let G be a finite group.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com