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1d
revised Inserting parentheses to produce different values
remove inappropriate tag algebraic-geometry and replace with notation
2d
comment Why Composition and Dihedral Group have reverse order of operation?
Alias vs alibi: isites.harvard.edu/fs/docs/icb.topic446952.files/aliasalibi.pdf
2d
comment Why Composition and Dihedral Group have reverse order of operation?
Or, possibly you are assuming that the numbers move with the hexagon when you rotate it, so that $s$ isn't always "reflection across the horizontal" but instead "reflection across the 1-4 axis, wherever it may currently be." I am assuming that the numbers stay put when the hexagon moves. In general, these 2 conventions (labels move vs labels stay) cause a right-to-left vs left-to-right reversal (see "alias vs alibi transformations".)
2d
comment Why Composition and Dihedral Group have reverse order of operation?
You wrote that (15) corresponds to $r^2s$. This is only correct if $r^2s$ means "first $s$, then $r^2$".
2d
answered Why Composition and Dihedral Group have reverse order of operation?
2d
comment Why Composition and Dihedral Group have reverse order of operation?
It will be easier to follow your post if you include the "original" labeling of the hexagon.
Jul
19
answered Is this a contradiction in probability?
Jul
16
comment Explicit Representation of the SU(N) Simple Roots in with redundant coefficents?
@JakobH Sorry, my original answer was incorrect. See the new answer.
Jul
16
revised Explicit Representation of the SU(N) Simple Roots in with redundant coefficents?
added 824 characters in body
Jul
15
revised Explicit Representation of the SU(N) Simple Roots in with redundant coefficents?
added 165 characters in body
Jul
15
answered Explicit Representation of the SU(N) Simple Roots in with redundant coefficents?
Jul
13
answered Question from book 'Indra's Pearls' about limit set arising from infinite words (compositions of maps)
Jul
7
asked Nodes of the Dynkin diagram for even-dimensional orthogonal groups
Jul
6
answered Find order of elliptic curve
Jun
21
comment Soluble(solvable) and nilpotent groups
What have you tried? Question 1 is a pretty straightforward induction on $i$.
Jun
21
answered Extra-Special $p$ group and complement
Jun
21
comment “On Numbers and Games” or “Winning Ways for Your Mathematical Plays”?
That sounds like a reasonable thing to do.
Jun
21
revised “On Numbers and Games” or “Winning Ways for Your Mathematical Plays”?
added 25 characters in body
Jun
21
comment correspondence between prime ideals of coordinate ring and subvarieties
@Seven Yes, we are required to show that, but that is part of the proof of the general result. See e.g. www2.gsu.edu/~matfxe/commalglectures/lect6.pdf Proposition 1.10
Jun
21
answered “On Numbers and Games” or “Winning Ways for Your Mathematical Plays”?