# Inner form

In mathematics, an (equivalence class of an) **inner form** of an algebraic group *G* over a field *K* is another algebraic group associated to an element of *H*^{1}(Gal(*K*/*K*), Inn(*G*)) where Inn(*G*) is the group of inner automorphisms of *G*.

## References

- Tits, Jacques (1966), "Classification of algebraic semisimple groups", in Borel, Armand; Mostow, George D. (eds.),
*Algebraic Groups and Discontinuous Subgroups (Proc. Sympos. Pure Math., Boulder, Colo., 1965)*, Providence, R.I.: American Mathematical Society, pp. 33–62, ISBN 978-0-8218-1409-3, MR 0224710

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