For G = <a: a^100 = e>, find the following

  • Thread starter Thread starter CoachBryan
  • Start date Start date
CoachBryan
Messages
14
Reaction score
0
It's asking me to find a^-5
From what I understood about inverses is that it's the element before you hit the identity would be the inverse. So a^5 = (a^5, a^10, a^15,..., a^90, a^95, a^100 = e), then a^-5 = a^95.

The correct answer is actually a^20.

Can anyone help me out with understanding inverses? Thanks!
 
Physics news on Phys.org
Nevermind, it was a typo. The answer was a^-5 = a^95
 

Thread 'Trouble understanding an online solution to an exercise in Dummit & Foote'

##\textbf{Exercise 10}:## I came across the following solution online: Questions: 1. When the author states in "that ring (not sure if he is referring to ##R## or ##R/\mathfrak{p}##, but I am guessing the later) ##x_n x_{n+1}=0## for all odd $n$ and ##x_{n+1}## is invertible, so that ##x_n=0##" 2. How does ##x_nx_{n+1}=0## implies that ##x_{n+1}## is invertible and ##x_n=0##. I mean if the quotient ring ##R/\mathfrak{p}## is an integral domain, and ##x_{n+1}## is invertible then...
View full post »

Thread 'Questions about non existence of GCDs vs (coimages, cokernels)'

The following are taken from the two sources, 1) from this online page and the book An Introduction to Module Theory by: Ibrahim Assem, Flavio U. Coelho. In the Abelian Categories chapter in the module theory text on page 157, right after presenting IV.2.21 Definition, the authors states "Image and coimage may or may not exist, but if they do, then they are unique up to isomorphism (because so are kernels and cokernels). Also in the reference url page above, the authors present two...
View full post »

Thread '##(A/\mathfrak{a})_{\mathfrak{p}/\mathfrak{a}}## and its isomorphism?'

I asked online questions about Proposition 2.1.1: The answer I got is the following: I have some questions about the answer I got. When the person answering says: ##1.## Is the map ##\mathfrak{q}\mapsto \mathfrak{q} A _\mathfrak{p}## from ##A\setminus \mathfrak{p}\to A_\mathfrak{p}##? But I don't understand what the author meant for the rest of the sentence in mathematical notation: ##2.## In the next statement where the author says: How is ##A\to...
View full post »

Similar threads

I Dfns group action & group, written in terms of the other
Replies
26
Views
377
MHB Which of the group axioms are satisfied?
Replies
9
Views
2K
I Matrix diagonalization algorithm
Replies
5
Views
2K
MHB 311.3.2.16 Find the determinant with variables a b c d e f g h i
Replies
4
Views
1K
I Is the identity of a group unique?
Replies
2
Views
2K
MHB Find all the zero divisors in a ring
Replies
3
Views
2K
B Find the Minimum Value of Expression Involving Positive Real Numbers
Replies
2
Views
2K
Momentum: why don't the two carts become one?
Replies
32
Views
1K
I Meaning of "passage to the quotient"?
Replies
3
Views
438
Set properties of even (##E##) and odd (##I##) integers
Replies
5
Views
1K

Hot Threads

Recent Insights

Back
Top