Abstract
We prove that for any finite group G, such that G/R(G)>120 (where R(G) is the soluble radical of G), and any finite-dimensional vector space V on which G acts, there is a non-identity element of G with fixed-point space of dimension at least 1/6 dim V. This bound is best possible.
Original language | American English |
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Pages (from-to) | 897-900 |
Number of pages | 4 |
Journal | Bulletin of the London Mathematical Society |
Volume | 43 |
Issue number | 5 |
DOIs | |
State | Published - Oct 2011 |
Bibliographical note
Funding Information:The authors were supported by an EPSRC grant. The second author holds the Miriam and Julius Vinik Chair in Mathematics, and is also supported by grants from the Israel Science Foundation and the ERC.