Suppose g is a simple group, in the sense that the only normal subgroups of g are {e} and g. show that if b is not the identity element e of g, then either g is abelian or zg(c(b)) = {e}. in other words, no non-trivial element of a non-abelian simple group commutes with every element of a nontrivial conjugacy class. (hint: use part (b) and consider the center z(g) of g.)

add an image

step-by-step explanation:

the radius is 2 times the diameter.

step-by-step explanation:

we can't see all full 4 options, but if this is the full option, than the very left one is correct:

-2/5 * -3 3/4

remake the question, adding a picture of all the question, or write down the full left and right answers.

answer:

some responsibilities that come with having a checking account -

1. we have to maintain check register with exactness to avoid checks being returned for insufficient funds which is called bouncing a check.

2. we need to update our check register each time we make a transaction using a convenience card. updating check register will   save   us from   overdrawing of checking account.

3. read the agreement the bank gave you when you signed up for our checking account. this includes all the fees and the minimum balance we need to keep in our account to avoid maintenance charges.  

explanation:

note : -   checking account is a transactional deposit account. we can use it to deposit and withdraw funds. money in a checking account is very liquid. it   can be withdrawn using electronic debits, automated cash machines, or checks among other methods.