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Results tagged with absolute-galois-group
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user 10194
14
votes
Subgroups of GL(2,q)
Claim 1: No group
$$A_{a,b,,c} := \mathbb{Z}/2^a \times \mathbb{Z}/2^b \times \mathbb{Z}/2^c$$
with $a,b,c > 1$ is a subgroup of some $GL(2,q)$.
Claim 2: If $q \neq 2,3$, then the quotients of $GL( …
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