# Sym(n)- and Alt(n)-modules with an additive dimension

@inproceedings{Corredor2021SymnAA, title={Sym(n)- and Alt(n)-modules with an additive dimension}, author={Luis Jaime Corredor and Adrien Deloro and Joshua Wiscons}, year={2021} }

We revisit, clarify, and generalise classical results of Dickson and (much later) Wagner on minimal Sym(n)and Alt(n)-modules. We present a new, natural notion of ‘modules with an additive dimension’ covering at once the classical, finitary case as well as modules definable in an o-minimal or finite Morley rank setting; in this context, we fully identify the faithful Sym(n)and Alt(n)-modules of least dimension. §

## One Citation

Actions of $\operatorname{Alt}(n)$ on groups of finite Morley rank without involutions

- Mathematics
- 2022

. We investigate faithful representations of Alt( n ) as automorphisms of a connected group G of ﬁnite Morley rank. We target a lower bound of n on the rank of such a nonsolvable G , and our main…

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