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inner_group_automorphism_group [2015/04/17 11:25] nikolaj |
inner_group_automorphism_group [2015/04/17 11:27] nikolaj |
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==== Set ==== | ==== Set ==== | ||
| @#55CCEE: context | @#55CCEE: $\langle\!\langle G,\cdot\rangle\!\rangle$ ... group | | | @#55CCEE: context | @#55CCEE: $\langle\!\langle G,\cdot\rangle\!\rangle$ ... group | | ||
- | | @#FFBB00: definiendum | @#FFBB00: $\mathrm{Inn}(G)\equiv\langle\!\langle \{h\mapsto g\cdot h\cdot g^{-1}\},*\rangle\!\rangle$ | | + | | @#FF9944: definition | @#FF9944: $\mathrm{Inn}(G)\equiv\langle\!\langle \{h\mapsto g\cdot h\cdot g^{-1}\},*\rangle\!\rangle$ | |
| @#FF9944: definition | @#FF9944: $(\phi*\psi)(h):=\phi(h)\cdot\psi(h)$ | | | @#FF9944: definition | @#FF9944: $(\phi*\psi)(h):=\phi(h)\cdot\psi(h)$ | | ||