Compiled by Haruyuki Kawabe and others
(see below for acknowledgements).
Note: Rubik’s cube moves displayed by Sage (using rubik.plot_cube
) are not the same as the book. For example, the Rubik’s cube move R is displayed in 2d using rubik.display2d("R")
as the move R^{1}. However, the color plots rubik.plot_cube("R")
(in 2d) and rubik.plot3d_cube("R")
(in 3d) are consistent with the book’s notation.
chapter  page  line  read  should be  
1  3  5  im  in  
3  7  _\wedge (i.e., _∧ )  _\vee (i.e., _∨ )  
5  8  De Morgans’s Law 
distribution law  
5  11  laws of negation  De Morgan’s laws  
7  1  [Gar1]  (SEE REMARK 1)  
11  12  two  four  
2  13  2  And  Can  
13  3  And  Can  
16  12  or  of  
19  2  vertices  vertices, edges 

19  1  f_1  f_0, f_1  
23  6  left matrix  (SEE REMARK 2)  
23  3  diagonal  triangular  
23  7  of  or  
27  6  S  a set  
33  7  5 jars  3 jars  
33  17  nm  nm+1  
34  13  n ’s  n1 ’s  
3  46  16  1 3 2 1  4 3 2 1  
56  5  (b_1, n)  (b_{n1}, n)  
56  5  (b_2, n)  (b_{n2}, n)  
56  5  (b_3, n)  (b_{n3}, n)  
56  5  (b_{n1}, n)  (b_1, n)  
57  6  adjacent. bells 
adjacent bells. 

59  16  the next  a later  
4  63 



63  9  five  four  
64  11  five  four  
66  7  matrix  array  
66  5  f_1r_1  f_1  
70  2  2×2  2x2x2  
80  2  [B1]  [Bur]  
81  10  [f_1.f_5.f_6]  [f_2.f_1.f_6]  
86  1  denote  and $\ell_4$ denote  
5  89  1  that there  there  
96  13  S_{54}  S_{48}  
99  5  S_4  S_{48}  
104  2  S_{54}  S_{48}  
107  7  2*t^6+2*t^3+7*t^2+t  t^6+t^3+3t^2+t  
110  6  Feynmann  Feynman  
116  3  for all x beloinging to X  (SIMPLY REMOVE)  
117  6  H  H  
118  17  lemma  proposition  
6  124  15  (sometimes called the toggle vector)  (SIMPLY REMOVE)  
129  11  E_{22}  E_{2,2}  
130  5  M_{N}  M_{N\times N}  
132  2  \vec{v_i}  \vec{f_i}  
134  19  if  of  
135  12  theory  theorem  
138  14  1,12  12  
138  13  2,9  9  
138  12  3,10  10  
138  11  4,11  11  
138  10  5,7  7  
138  9  6,8  8  
138  8  5  
138  7  6  
138  6  2  
138  5  3  
138  4  4  
138  3  1  
7  148  9  digraph  graph  
148  14  3×3  3x3x3  
148  2  I was  I was born  
153  9  1307674368000  653837184000  
8  158  17  remove “,” after cos(\theta)  
159  3  lemma  theorem  
163  2  number  number perfect  
9  169  2  sgn  sign  
174  20  f  \phi  
178  14  g_1\cdot g_2^(1)=e_2  g_1\cdot g_2^{1}=e_1  
182  1  f(G_1)  f(G_2)  
187  5  C  V  
191  9  a+b+c\equiv 0  a+b+c  
195  13  missing commas after x_1 and after y_1  
197  12  diag(v)  (SEE REMARK 3)  
197  13  (3,3) entry of the 2nd matrix should be 1 instead of 1  
10  201  11  transpositions  the generators  
217  2  n+1  n  
217  10, 18  h_j  h_i  
11  222  1  v(g)  vec{v}(g)  
223  14,15  H  H’  
226  3  (r,s,0,0)  (r,0,s,0)  
228  16  v_k  v_{k+1}  
229  1,2  \equiv  \cong  
231  1  10^6  10^7  
241  8  plane  line  
12  242  9  (SEE REMARK 4)  
242  15  (SEE REMARK 4)  
244  14  plane  line  
245  9  F_5^X  (SEE REMARK 5)  
245  10,12  F_F  F_5  
246  3  elementary transvections  (SEE REMARK 6)  
249  15,17,19  P^1(F)  P^1(F_7)  
13  252  15  f_V  f_V:G\to S_v, g \mapsto g_V (SEE REMARK 7) 

253  4  f_{EV}  f_{VE}  
255  15 to 13  vague statement of Claim 1  a more precise meaningful statement  
257  20  S_V x C_3^8  C_3^8 x S_V  
257  16  p(g)\vec{v}(h)  p(g)^{1}\vec{v}(h)  
260  10  Corner  Edge  
261  5  r \in S_V,  (simply remove)  
263  1  5.10  4.4 (but no edgelabels are given)  
14  270  7  the pile is  the stack of cards is  
273  14  M_12  M_12  
274  8  F;  F:  
278  8  A_24  A_{24}  
279  9, 10  weights of the  weight distribution of the  
279  9  [n, k, d]  where n is the length, k is the dimension, and d is the minimum distance  
280  11  12.3  12.4  
283  2  mthods  methods  
283  12  left  right  
15  285  4  Abyss  the Abyss  
286  17  face  corners  
288  5, 4  G_{k+1}/G_k  G_k/G_{k+1}  
288  3  m_{n1}  r_{n1}  
288  2  n_1  r_1  
289  1  g_{k+1,j}G_k  g_{k+1,j}G_{k+1}  
289  2  n_1  r_k  
292  16  (1,2)  (2,1)  
292  18  (4,2)  (2,4)  
294  16  [FRU \cdot FLU]^3 
(FRU \cdot FLU)^3 

294  12  [FRU \cdot BLU]^5 
(FRU \cdot BLU)^5 

295  12  bottom  bottom and left center facets 

295  2  UL  $UL$  
298  5  9.4  10.4  
Bibliography  299  missing reference  [Bur] R. Burn, Groups: a path to geometry, Cambridge Univ. Press, 1985.  
299  missing reference  [Gar3] M. Gardner, Eight problems, in New Mathematical Diversions, M.A.A, 1995.  
301  18  group  groups  
REMARK 1:  The problem is described in [Gar3], “New Mathematical Diversions”, instead of [Gar1]. 

REMARK 2:  3×4 matrix would also be appropriate for the example. 

REMARK 3:  The function diag is not defined. (It defines a diagonal matrix with the given entries on the diagonal.) 

REMARK 4:  The matrices on right hand side of the equation should be swapped. 

REMARK 5:  F_5^X is not defined.  
REMARK 6:  The term is not explained in this book. See transvection on Wikipedia, for example. 

REMARK 7:  f_V is defined to be the map F_V(g)=g_V.  
REMARK 8:  the notation is not defined.  
The typo mentioned above on page 46 was caught by Greg Ives – thank you!
The typos mentioned above on pages 107, 153 were caught by Matthias Rudnick, who also noticed the Sage bug in display2d
– thank you!
The typo mentioned above on page 231 was caught by Michael Burns – thank you!
The errata mentioned above on page 255 (the statement of Claim 1 is so vague it has no
meaningful mathematical content) was caught by Prof. Juergen Voigt – thank you!
I think Haruyuki Kawabe for the remaining typos, as well as his Japanese translation of the book.