Question

there exist a subgroup of Z_125 x Z_8 that is isomorphic to Z_5 x Z_5 if...

there exist a subgroup of Z_125 x Z_8 that is isomorphic to Z_5 x Z_5 if yes or not? explain ang show example please!!

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Show that S n is isomorphic to a subgroup of A n + 2.
Show that S n is isomorphic to a subgroup of A n + 2.
Let G and G′ be two isomorphic groups that have a unique normal subgroup of a...
Let G and G′ be two isomorphic groups that have a unique normal subgroup of a given order n, H and H′. Show that the quotient groups G/H and G′/H′ are isomorphic.
Show that any dihedral group is isomorphic to a subgroup of GLn(R). (Be as precise as...
Show that any dihedral group is isomorphic to a subgroup of GLn(R). (Be as precise as possible, giving an explicit map between generators r, s of D2n and certain 2 × 2 matrices.)
Let G1 and G2 be isomorphic groups. Prove that if G1 has a subgroup of order...
Let G1 and G2 be isomorphic groups. Prove that if G1 has a subgroup of order n, then G2 has a subgroup of order n
Prove that D_4 is also isomorphic to a subgroup H of S_8. Explicitly list all elements...
Prove that D_4 is also isomorphic to a subgroup H of S_8. Explicitly list all elements in H in cycle notations.
Show that if G is a group, H a subgroup of G with |H| = n,...
Show that if G is a group, H a subgroup of G with |H| = n, and H is the only subgroup of G of order n, then H is a normal subgroup of G. Hint: Show that aHa-1 is a subgroup of G and is isomorphic to H for every a ∈ G.
Let N be a normal subgroup of G. Show that the order 2 element in N...
Let N be a normal subgroup of G. Show that the order 2 element in N is in the center of G if N and Z_4 are isomorphic.
The direct product group R × R has subgroup H = {(5a, a) | a c...
The direct product group R × R has subgroup H = {(5a, a) | a c R}. Show that group R is isomorphic with group H.
For any integer n>1, prove that Zn[x]/<x> is isomorphic to Zn. Please explain best way possible...
For any integer n>1, prove that Zn[x]/<x> is isomorphic to Zn. Please explain best way possible and use First Isomorphism Theorem for rings.
Prove that if A is a subgroup of G and B is a subgroup of H,...
Prove that if A is a subgroup of G and B is a subgroup of H, then the direct product A × B is a subgroup of G × H. Show all steps. Note that AXB is nonempty since the identity e is a part of A X B. Remains only to show that A X B is closed under multiplication and inverses.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT