Answer to Question #144687 in Abstract Algebra for J

Question #144687
Assume that G is a group, H is a subgroup of G, |H|=6, [G:H]>4 and |G|<50. What can be concluded about |G|?
1
Expert's answer
2020-11-17T07:40:27-0500

Let "G" be a group, "H" be a subgroup of "G", "|H|=6, [G:H]>4" and "|G|<50".  According to Lagrange's theorem, "|G|=|H|\\cdot[G:H]=6\\cdot [G:H]>6\\cdot 4=24". Therefore, we conclude that

"24<|G|<50."


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS