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Timeline for Almost squared finite groups

Current License: CC BY-SA 4.0

5 events
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Apr 6, 2021 at 16:45 history edited kabenyuk CC BY-SA 4.0
corrected proof
Apr 6, 2021 at 16:10 comment added kabenyuk I agree with you. I'll edit my post now.
Apr 5, 2021 at 16:09 comment added Taras Banakh In the proof of Lemma 1 it is not clear why $z^2=a^2b^2=b^2a^2$ leads to a contradiction ($a^2,b^2$ need not belong to $A$). On the other hand, we can use the fact that $1$ is a unique singular elements of an almost squared group of odd order.
Apr 4, 2021 at 18:51 comment added Taras Banakh Thank you very much for the answer and the last example of an almost squared group. So, now we know 7 such groups: $C_3$, $D_8$, $S_4$, $GL(2,3)$, $S_5$, $GL(3,2)$, $A_6$. And this is great!
Apr 4, 2021 at 17:20 history answered kabenyuk CC BY-SA 4.0