Using Kurosch's subgroup theorem for free proucts,prove that
every finite subgroup of the free product of...
Using Kurosch's subgroup theorem for free proucts,prove that
every finite subgroup of the free product of finite groups is
isomorphic to a subgroup of some free factor.
Prove that every real number with a terminating binary representation (finite number of digits to the right of the binary point) also has a terminating decimal representation (finite number of digits to the right of the decimal point).
. Let Π be a finite incidence geometry. Prove that, if every
line in Π has exactly n points and every point in Π lies on exactly
n + 1 lines, then Π is an affine plane. Come up with a similar
criterion for finite geometries satisfying (EP) (those geometries
are called projective planes).
Prove that every finite integral domain is a field. Give an
example of an integral domain which is not a field.
Please show all steps of the proof. Thank you!!