Can u give me the definition of the $\displaystyle N_{Aut(A)}(B)$ where B is a subgrroup of A.

Printable View

- Aug 13th 2008, 10:33 AMdimukNormalizer
Can u give me the definition of the $\displaystyle N_{Aut(A)}(B)$ where B is a subgrroup of A.

- Aug 13th 2008, 06:29 PMJaneBennet
$\displaystyle N_A(B)=\{a\in A:aBa^{-1}=B\}$

- Aug 13th 2008, 09:53 PMdimuknormlizer
Yes this is the normalizer of the groups A and B. But I want to know the normalizer of automorphism of A in B.