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Random elements of a free profinite group generate a free subgroup

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Publication:1320939
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zbMath0817.20032MaRDI QIDQ1320939

Alexander Lubotzky

Publication date: 8 August 1995

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

probability measureopen subgroupfree profinite groupfree prosolvable groupsclosed subgroup of infinite indexfree pro-\(p\)-group


Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Measures on groups and semigroups, etc. (43A05) Limits, profinite groups (20E18) Probabilistic methods in group theory (20P05)


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