Rättelser

Rättelser till Aritmetik & Algebra, del 1

Sida Rad Står Ska vara

32 13 $\mathbb Z$ $\mathbb Z/n$

14 $\mathbb Z$ $\mathbb Z/n$

33 3 I gruppen Gruppen

11 $\mathbb Z/20$ $\mathbb Z/20^{\times}$

12 7^-1=1 7^-1=3

15 $\mathbb Z/20$ $\mathbb Z/20^{\times}$

37 4 r⁷s r⁷

38 -4 $5\, \vert\, 0\, \vert\, 5 \ldots$ $5n\, \vert\, 0\, \vert\, 5 \ldots$

41 12 $x_{2}=(h')^{-1}hx_{2}\in Hx_{2}$ $x_{2}=(h')^{-1}hx_{1}\in Hx_{1}$

41 -14 $2\cdot 3\cdot 13$ $2\cdot 13$

45 Exempel 3.40 utgår

48 12 q (2 gånger) n

50 -2 (x^1/3+y^1/3)³ x^1/3+y^1/3

88 14 x⁴+2x²-6 x⁴+2x²+9

14 x⁶-x⁵+x⁴+7x³-8x²+8x+8 x⁶-x⁵+x⁴+7x³-8x²+8x-8

89 10 stryk c)

93 8 9(4⁵-4) 10(4⁵-4)

95 6 d)14

95 11 (3,7,4) (3,4,7)

95 14 c) 14 c) 3

95 14 e) 50

99 3 $\{1,r^{2},s,r^{2}s\}$ $\{1,r^{2},s,r^{2}s\},\,\{1,r^{2},rs,r^{3}s\},$

99 4 $\{1,r^{2},r^{4}\}$ $\{1,r^{2},r^{4}\},\,\{1,r^{3},s,r^{3}s\},\,\{1,r^{3},rs,r^{4}s\}$ ,

$\{1,r^{2},r^{4},rs,r^{3}s,r^{5}s\}$

101 8 a)... a) (x²-2x+3)(x²+2x+3)

Sida	Rad	Står	Ska vara
32	13	$\mathbb Z$	$\mathbb Z/n$
	14	$\mathbb Z$	$\mathbb Z/n$
33	3	I gruppen	Gruppen
	11	$\mathbb Z/20$	$\mathbb Z/20^{\times}$
	12	7^-1=1	7^-1=3
	15	$\mathbb Z/20$	$\mathbb Z/20^{\times}$
37	4	r⁷s	r⁷
38	-4	$5\, \vert\, 0\, \vert\, 5 \ldots$	$5n\, \vert\, 0\, \vert\, 5 \ldots$
41	12	$x_{2}=(h')^{-1}hx_{2}\in Hx_{2}$	$x_{2}=(h')^{-1}hx_{1}\in Hx_{1}$
41	-14	$2\cdot 3\cdot 13$	$2\cdot 13$
45			Exempel 3.40 utgår
48	12	q (2 gånger)	n
50	-2	(x^1/3+y^1/3)³	x^1/3+y^1/3
88	14	x⁴+2x²-6	x⁴+2x²+9
	14	x⁶-x⁵+x⁴+7x³-8x²+8x+8	x⁶-x⁵+x⁴+7x³-8x²+8x-8
89	10		stryk c)
93	8	9(4⁵-4)	10(4⁵-4)
95	6	d)14
95	11	(3,7,4)	(3,4,7)
95	14	c) 14	c) 3
95	14	e) 50
99	3	$\{1,r^{2},s,r^{2}s\}$	$\{1,r^{2},s,r^{2}s\},\,\{1,r^{2},rs,r^{3}s\},$
99	4	$\{1,r^{2},r^{4}\}$	$\{1,r^{2},r^{4}\},\,\{1,r^{3},s,r^{3}s\},\,\{1,r^{3},rs,r^{4}s\}$ ,
			$\{1,r^{2},r^{4},rs,r^{3}s,r^{5}s\}$
101	8	a)...	a) (x²-2x+3)(x²+2x+3)