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- W2001009008 abstract "Let O be an automorphism of a group G. Under variousfiniteness or solubility hypotheses, for example under polycyclicity, the commutator subgroup [G; O] has finite index in G if thefixed-point set CG(O) of O in G isfinite, but not conversely, even for polycyclic groups G. Here we consider a stronger, yet natural, notion of what it means for [G;O] to have finite index' in G and show that in many situations, including G polycyclic, it is equivalent to CG(O) being finite." @default.
- W2001009008 created "2016-06-24" @default.
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- W2001009008 date "2013-01-01" @default.
- W2001009008 modified "2023-10-14" @default.
- W2001009008 title "On the fixed-point set of an automorphism of a group" @default.
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- W2001009008 doi "https://doi.org/10.5565/publmat_57113_06" @default.
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