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$\begingroup$ And this is nicely explained in Rotman's book on group theory. $\endgroup$

Pedro
– Pedro

2018-07-31 07:36:59 +00:00
Commented Jul 31, 2018 at 7:36
$\begingroup$ @PedroTamaroff : Does Rotman explain that the group of all automorphisms of $S_6$ has exactly three subgroups of index $2$? $\qquad$ $\endgroup$

Michael Hardy
– Michael Hardy

2018-07-31 12:35:16 +00:00
Commented Jul 31, 2018 at 12:35
$\begingroup$ Hm, I don't think so. Not at least in the edition I have. $\endgroup$

Pedro
– Pedro

2018-07-31 19:06:21 +00:00
Commented Jul 31, 2018 at 19:06
$\begingroup$ @PedroTamaroff : Nonetheless I'll probably look at Rotman. $\qquad$ $\endgroup$

Michael Hardy
– Michael Hardy

2018-07-31 19:25:24 +00:00
Commented Jul 31, 2018 at 19:25

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