Question

F.M:45 - 20
Answer the following questions:
1) Show that the set D of all integers forms a commutative group
with respect to the composition * defined by a*b = a + b - 1 for all
a, b in D
2) Prove that a group G is abelian if and only if (ab) = a-1b-1
for all a, b in G
3) Prove that (Q, *) is not cyclic group. Qis set of rational number
4) Show that (2) is a cyclic group. Find the order of (3) and (5)​

Answer 1

Answer:

good night broo

have a very great day

Step-by-step explanation:

Atomic number (Z)=15=P→[Ne]3s

2

3p

3

Phosphorus belongs to 15th group

number of valence electrons 3s

2

3p

3

=5

and valency =3 in ground state.

Hence, the correct option is C