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- W3100454041 abstract "Let $$p$$ and $$ell $$ be two distinct prime numbers and let $$Gamma $$ be a group. We study the asymptotic behaviour of the mod- $$ell $$ Betti numbers in $$p$$ -adic analytic towers of finite index subgroups. If $$Theta $$ is a finite $$ell $$ -group of automorphisms of $$Gamma $$ , our main theorem allows to lift lower bounds for the mod- $$ell $$ cohomology growth in the fixed point group $$Gamma ^Theta $$ to lower bounds for the growth in $$Gamma $$ . We give applications to $$S$$ -arithmetic groups and we also obtain a similar result for cohomology with rational coefficients." @default.
- W3100454041 created "2020-11-23" @default.
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- W3100454041 date "2013-12-31" @default.
- W3100454041 modified "2023-09-27" @default.
- W3100454041 title "On lower bounds for cohomology growth in $$p$$ p -adic analytic towers" @default.
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- W3100454041 doi "https://doi.org/10.1007/s00209-013-1273-3" @default.
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