Sign up ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I want to prove that $GL(2n, q)$ where $q$ is even, has an abelian subgroup of order $q^{2n - 1}$. please help me.

share|cite|improve this question

1 Answer 1

The matrices consisting of 1's on the main diagonal and 0's everywhere else except in the last column form an abelian subgroup of order $q^{2n-1}$. In fact, if the last column (other than the 1 at the bottom) is treated as a vector, the multiplication operation is just addition of vectors.

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.