I need elements $A\in GL_4(\mathbb{Z}_2)$(General linear group of $4\times 4$ matrices over $\mathbb{Z}_2$ ) with $A^5=I, A\neq I.$ By using simple calculation its hard to find such types of elements. So i think GAP or Magma is suitable for it. I am new in GAP. Please suggest me how to find this types of matrices with a suitable LoadPackage(if necessary). Thanks.
2026-02-23 01:05:13.1771808713
Elements $A\in GL_4(\mathbb{Z}_2)$ with $A^5=I, A\neq I$ by using GAP.
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