how do we start this proof? let x ghg -1 . assume a, b h show nonempty:

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How do we start this proof? (a) Let x gHg -1 . (b) (c) Assume a, b H (d) Show Nonempty:

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How do we start this proof? Let x  gHg -1 .  Assume a, b  H Show Nonempty:. What is the next line of the proof? Assume H is normal. Assume ab -1  H Assume a, b  H Assume if ab -1  H then Ha = Hb. What is the next line of the proof? Assume gHg -1 = H - PowerPoint PPT Presentation

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Page 1: How do we start this proof?  Let x    gHg -1 .   Assume a, b  H  Show Nonempty:

How do we start this proof?

(a) Let x gHg-1.

(b)

(c) Assume a, b H

(d) Show Nonempty:

Page 2: How do we start this proof?  Let x    gHg -1 .   Assume a, b  H  Show Nonempty:

What is the next line of the proof?

(a) Assume H is normal.

(b) Assume ab-1 H

(c) Assume a, b H

(d) Assume if ab-1 H then Ha = Hb.

Page 3: How do we start this proof?  Let x    gHg -1 .   Assume a, b  H  Show Nonempty:

What is the next line of the proof?

(a) Assume gHg-1 = H

(b) Let x gHg-1

(c) Assume g H

(d) Assume gHg-1 = H.

Page 4: How do we start this proof?  Let x    gHg -1 .   Assume a, b  H  Show Nonempty:

What is the next line of the proof?

(a) Assume gHg-1 = H

(b) Let x gHg-1

(c) Let h H

(d) Assume gHg-1 = H.

Page 5: How do we start this proof?  Let x    gHg -1 .   Assume a, b  H  Show Nonempty:

What is the next line of the proof?

(a) Assume gHg-1 = H

(b) Let x gHg-1

(c) Let ghg-1 = h

(d) Let H be a subgroup.

Page 6: How do we start this proof?  Let x    gHg -1 .   Assume a, b  H  Show Nonempty:

What is the next line of the proof?

(a) Assume H is normal.

(b) Assume H is abelian.

(c) Let g G, h H.

(d) Let gHg-1 = H.