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Feb 22, 2017 at 17:05 history bumped CommunityBot This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.
Jan 23, 2017 at 23:11 comment added Richard Lyons It might help to have some examples of groups outside this class, which have no normal 2-subgroup.
Jan 23, 2017 at 15:27 answer added Nick Gill timeline score: 1
Jan 23, 2017 at 13:23 comment added Geoff Robinson Finite groups with a (proper) strongly embedded subgroup also have this property.
Jan 23, 2017 at 12:42 comment added Maryam As you pointed out, it seems that these groups or some of their subgroups have close relation with Frobenius groups.
Jan 23, 2017 at 12:26 comment added Maryam @Geoff, Yes, I want to know more about the structure of these class of groups.
Jan 23, 2017 at 11:35 comment added Geoff Robinson Frobenius groups with kernels of odd order all have this property ( which is why you have the examples $S_{3}$ and $D_{10}$).
Jan 23, 2017 at 11:12 comment added Geoff Robinson You are basically asking to classify finite groups in which there is a non-identity element normalizing no non-identity $2$-subgroup.
Jan 22, 2017 at 22:57 comment added Geoff Robinson This seems very ambitious
Jan 22, 2017 at 19:18 review First posts
Jan 22, 2017 at 19:24
Jan 22, 2017 at 19:16 history asked Maryam CC BY-SA 3.0