Question

Let G be a group , Z(G) denote the center of G and C(a)
denote the centralizer of an element a EG then
PRN: MA20100388, NOTE:
SCREENSHOT PROHIBITED
A
Z(G) is a subgroup of G but C(a) may not be subgroup of
G.
B
Z(G) is not a subgroup of G but C(a) is a subgroup of G.
C
both Z(G) and C(a) are subgroup of G
Questions
Bookmark
Next
Previous
Last
First
Clear
Submit Test​

Answer 1

Answer:

Let G be a group , Z(G) denote the center of G and C(a)

denote the centralizer of an element a EG then

PRN: MA20100388, NOTE:

SCREENSHOT PROHIBITED

A

Z(G) is a subgroup of G but C(a) may not be subgroup of

G.

B

Z(G) is not a subgroup of G but C(a) is a subgroup of G.

C

both Z(G) and C(a) are subgroup of G

Questions

Bookmark

Next

Previous

Last

First

Clear

Submit Test