WTS, is that such set is a subgroup.(adsbygoogle = window.adsbygoogle || []).push({});

I need to show closure under group operation and inverse.

I can do the inverse which is usually the hardest part, but I'm stuck on the grp op.

So let a in K and b in K, both have finite distinct conjugates. Their conjugates are in the group too. WTS is that ab in K too.

if a, b in K then xax^{-1}= c in K and yay^{-1}

consider xy(ab)(xy)^{-1}note since xax^{-1}and yay^{-1}are finite and distinct then x and y are finite and distinct hence xy and its inverse is finite

hence xy(ab)(xy)^{-1}in K

what do you think?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# SUBSET K of elements in a group with finite distinct distinct conjugates

**Physics Forums | Science Articles, Homework Help, Discussion**