Math Chapter Wise question with answer

Q01 If G is a finite group and O(G) = pn, where p is prime number and n is positive integers, then English · UP Higher Asst. Prof. 2021 Q02 In a group (G, o) if n is the order of an element a, where a∈G, and p is prime to 'n' then the order of ap is. English · TGT 2004 Q03 Consider the group (z,*), where Z is the set of all integers and * is defined by a*b=a+b+1, a, b∈z The inverse of a... English · UP PCS (Pre) 2006 Q04 Let N be normal subgroup of a group G and f: G → G N is a mapping defined by f(x) = xN ∀ x∈G, then f is English · RPSC PGT 2022 Q05 If 'p' is a prime number and 'G' is a non- abelian group of order p3, then the number of elements in the centre of... English · UPPSC Polytechnic Lecturer 2021(II) Q06 Let 'H' be a subgroup of 'G' and 'N' be a normal subgroup of G, then H∩ ∩ ∩N is - English · UPPSC Polytechnic Lecturer 2021(II) JDD-75-PGT TIER II-X-15 28.06.2015