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Diophantine geometry over groups VI: the elementary theory of a free group

โœ Scribed by Z. Sela

Publisher
Springer
Year
2006
Tongue
English
Weight
491 KB
Volume
16
Category
Article
ISSN
1016-443X

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๐Ÿ“œ SIMILAR VOLUMES

A diophantine equation which arises in t
A diophantine equation which arises in the theory of finite groups
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Remark 3. Although we have proved that (with one exception) m=n=2 in (I), so that the equation becomes pa -2q2 = fl, 25

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This is proved by induction on 7n. For ni = 0 (\*) follows immediately from the definitions. Now take a E C,:,,, for m > 0. There is c E B,,,, such t'hat ac E pCp,n,-l + + C,,;f,l+l. There is thus a' E Cl~.flr-l with a E c + pa' + Cl,.,,f+l. By induction hypothesis a' E 6' + C,.,,, for some b' E @ B