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Nov 21, 2011 at 20:40 comment added HJRW @Todd, @Igor - Actually '-ize' and '-ise' are both acceptable in British English; '-ize' is often referred to as the 'Oxford spelling' (see wikipedia). I think the key lesson here is not to try to correct others' spelling unless you actually have some idea about spelling yourself (and probably best not even then).
Nov 21, 2011 at 18:50 history edited user6976 CC BY-SA 3.0
added a part of proof that was missing as was pointed out by Ashot Minasyan.
Nov 21, 2011 at 18:17 comment added user6976 @Ashot: Indeed, I missed the case when $A^g$ is inside $B$ (so $A^g=A^g\cap B$). But that case is even easier.
Nov 21, 2011 at 17:08 comment added Todd Leason I think Drike (deleted comment) and the others are right: "normalize" is American English and "normalise" British English. More examples can be found on spelling.org/free/instructional/…. An example in mathematical context is the announcement talks.cam.ac.uk/talk/index/34171 where "generalise" appears. Sorry, if my comment led to confusion.
Nov 21, 2011 at 16:03 comment added user6976 I am not a native English speaker, so my spelling cannot be trusted. Google gives 10 mil links for "normalize" and 3 mil links for "normalise". I guess this makes both versions possible.
Nov 21, 2011 at 15:44 comment added Igor Rivin @Todd: perhaps @Drike is a native English speaker (as opposed to a native, or otherwise, American speaker)? Google "normalize" and you will be enlightened.
Nov 21, 2011 at 13:25 comment added Todd Leason @Drike: Reading Mark's answer carefully also shows that the correct spelling is "normalize" (not "normalise").
Nov 21, 2011 at 12:44 comment added Drike @Mark Sapir : Thanks ! You are proving even more : if some group K normalises $A\cup B$, then it normalises $A\cap B$, and your key point is that a union of two distinct subgroups is not a group.
Nov 21, 2011 at 12:17 vote accept Drike
Nov 21, 2011 at 12:00 history edited user6976 CC BY-SA 3.0
added 105 characters in body
Nov 21, 2011 at 11:44 history answered user6976 CC BY-SA 3.0