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- W2494509554 abstract "In this paper, we study the fibers of automorphic word a certain generalization of word maps, on finite groups and on nonabelian finite simple groups in particular. As an application, we derive a structural restriction on finite groups $G$ where, for some fixed nonempty reduced word $w$ in $d$ variables and some fixed $rhoinleft(0,1right]$, the word map $w_G$ on $G$ has a fiber of size at least $rho|G|^d$: No sufficiently large alternating group and no (classical) simple group of Lie type of sufficiently high rank can occur as a composition factor of such a group $G$." @default.
- W2494509554 created "2016-08-23" @default.
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- W2494509554 date "2016-07-30" @default.
- W2494509554 modified "2023-09-27" @default.
- W2494509554 title "Fibers of automorphic word maps and an application to composition factors" @default.
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