1) prove that H is a subgroup of S5 (the permutation group of 5 elements). every element x in H is of the form x(1)=1 and x(3)=3, meaning x moves 1 to 1 and moves 3 to 3. does your argument work hen 5 is replaced by a number greater than or equal to 3?(adsbygoogle = window.adsbygoogle || []).push({});

2) Let G be a group. prove or disprove that H={g^2:g is an element of H} is a subgroup.

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

Dismiss Notice

Join Physics Forums Today!

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

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

# Abstract Algebra help needed

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