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Let k be an integer such that k divides n. Show that H = is a normal subgroup of Dn (Dihedral group). Then,...
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Let k be an integer such that k divides n. Show that H = is a normal subgroup of Dn (Dihedral group). Then, show that Dn/H is isomorphic to Dk.
I am totally lost here. I know in Dihedral group, r^n=e=s^2, srs=r^-1. However, I don't know how to proceed this question.
abstract-algebra
asked 11 hours ago
RandomThinker
191
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up vote
2
down vote
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Let k be an integer such that k divides n. Show that H = is a normal subgroup of Dn (Dihedral group). Then, show that Dn/H is isomorphic to Dk.
I am totally lost here. I know in Dihedral group, r^n=e=s^2, srs=r^-1. However, I don't know how to proceed this question.
abstract-algebra
asked 11 hours ago
RandomThinker
191
Totally lost? Then first thing to do is to remind yourself of the definition of normal subgroup, and of $D_n/H$ (and second thing to do is to learn how to format mathematics on this website – check the Help menu).
– Gerry Myerson
11 hours ago
add a comment |
up vote
2
down vote
favorite
up vote
2
down vote
favorite
Let k be an integer such that k divides n. Show that H = is a normal subgroup of Dn (Dihedral group). Then, show that Dn/H is isomorphic to Dk.
I am totally lost here. I know in Dihedral group, r^n=e=s^2, srs=r^-1. However, I don't know how to proceed this question.
abstract-algebra
asked 11 hours ago
RandomThinker
191
Let k be an integer such that k divides n. Show that H = is a normal subgroup of Dn (Dihedral group). Then, show that Dn/H is isomorphic to Dk.
I am totally lost here. I know in Dihedral group, r^n=e=s^2, srs=r^-1. However, I don't know how to proceed this question.
abstract-algebra
abstract-algebra
asked 11 hours ago
RandomThinker
191
asked 11 hours ago
RandomThinker
191
asked 11 hours ago
RandomThinker
191
asked 11 hours ago
RandomThinker
191
asked 11 hours ago
RandomThinker
191
191
Totally lost? Then first thing to do is to remind yourself of the definition of normal subgroup, and of $D_n/H$ (and second thing to do is to learn how to format mathematics on this website – check the Help menu).
– Gerry Myerson
11 hours ago
add a comment |
Totally lost? Then first thing to do is to remind yourself of the definition of normal subgroup, and of $D_n/H$ (and second thing to do is to learn how to format mathematics on this website – check the Help menu).
– Gerry Myerson
11 hours ago
Totally lost? Then first thing to do is to remind yourself of the definition of normal subgroup, and of $D_n/H$ (and second thing to do is to learn how to format mathematics on this website – check the Help menu).
– Gerry Myerson
11 hours ago
Totally lost? Then first thing to do is to remind yourself of the definition of normal subgroup, and of $D_n/H$ (and second thing to do is to learn how to format mathematics on this website – check the Help menu).
– Gerry Myerson
11 hours ago
add a comment |
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Totally lost? Then first thing to do is to remind yourself of the definition of normal subgroup, and of $D_n/H$ (and second thing to do is to learn how to format mathematics on this website – check the Help menu).
– Gerry Myerson
11 hours ago