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Timeline for Weak Pronormality of a finite group

Current License: CC BY-SA 3.0

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May 23, 2017 at 11:05 answer added Derek Holt timeline score: 2
May 22, 2017 at 7:14 vote accept R Maharaj
May 22, 2017 at 2:18 answer added Geoff Robinson timeline score: 3
May 20, 2017 at 17:42 review Close votes
May 20, 2017 at 19:08
May 20, 2017 at 15:44 comment added R Maharaj @DerekHolt, it has been mentioned in the paper (mat.polsl.pl/groups/docs/Subbotin.pdf) but the author just says that it does not hold in general without providing a counterexample
May 20, 2017 at 15:42 history edited R Maharaj CC BY-SA 3.0
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May 20, 2017 at 15:35 history edited R Maharaj CC BY-SA 3.0
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May 20, 2017 at 15:00 comment added Derek Holt Could you provide a little more context? How do you know that weak pronormality does not imply pronormality in general finite groups, and why do you need an example? Is this an exercise somewhere, or just for interest's sake?
May 20, 2017 at 14:40 comment added YCor You have not clarified about whether you want a finite group. And "this would be a non-solvable group" is not correct. It would not be a finite solvable group.
May 20, 2017 at 14:15 comment added R Maharaj @YCor. Thank you for pointing that out. I have edited my question to reflect what I intended. And yes, I would wnat to find such a counterexample for a finite group, as weak pronormality and pronormality coincide for finite solvable groups
May 20, 2017 at 14:13 history edited R Maharaj CC BY-SA 3.0
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May 20, 2017 at 14:04 comment added YCor I think your definition of $H^{\langle g\rangle}$ is mistaken (it cannot make sense since $g$ is given and then is a new variable). I guess you just mean $H^K=\langle kHk^{-1}|k\in K\rangle$.
May 20, 2017 at 14:01 comment added YCor In your title you write "of a finite group" and in the sequel you don't ask about finite groups. Is your question for finite groups?
May 20, 2017 at 13:56 history asked R Maharaj CC BY-SA 3.0