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Results tagged with finite-groups
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user 2757
Questions on group theory which concern finite groups.
22
votes
Size of the smallest group not satisfying an identity.
To make the question a little less open-ended while (I hope) retaining its spirit, let me interpret the question as asking for the rate of growth of the function $\mu(k)$ defined as the maximum of $M( …
- 23.8k
3
votes
Generating Classical Groups over Finite Local Rings
The answer is YES (at least if $n,k \ge 2$), because elements of the orders you prescribe do not exist! The problem is that the orders of elements in the kernel of $\operatorname{Sp}_{2n}(R_k) \to \o …
- 23.8k