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Finite groups admitting the extensions of the automorphisms of a maximal elementary abelian 2-subgroup

โœ Scribed by N.S.Narasimha Sastry


Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
362 KB
Volume
73
Category
Article
ISSN
0021-8693

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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