If a Sylow subgroup is normal, then it is the unique subgroup of that order, i.e. if P◃G
let, finite group =G with Sylow p-subgroup P. P⊴G⟺P is a characteristic subgroup of G because If a Sylow subgroup is normal, then it is the unique subgroup of that order, i.e. if P◃G then there is only one subgroup of order |P| because which implies P is characteristic subgroups.
How to find out the mirror image of a point?
Generators of a free group
If G is a free group generated by n elements, is it possible to find an isomorphism of G with a free group generated by n-1 (or any fewer number) of elements?
How many 3/4 Are in 1
Convert 10 meters to feet. Round your answer to the nearest tenth
6. Reduce the following matrix to reduced row echelon form:
Let v be a vector over a field F with zero vector 0 and let s,T be a substance of V .then which of the following statements are false
Describe Aut(Zp), the automorphism group of the cyclic group Zp where p is prime. In particular find the order of this group. (Hint: A generator must map to another generator)
Let a and b belong to a ring R and let m be an integer. Prove that m(ab) = (ma)b = a(mb)