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Invariant measures on groups satisfying various chain conditions. (English) Zbl 1220.03024

Summary: For any group satisfying a suitable chain condition, we construct a finitely additive measure on it that is invariant under certain actions.

MSC:

03C60 Model-theoretic algebra
20E15 Chains and lattices of subgroups, subnormal subgroups
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[1] DOI: 10.1016/0168-0072(84)90014-9 · Zbl 0593.16019
[2] Euler characteristics for strongly minimal groups and the eq-expansions of vector spaces 76 pp 235– (2011) · Zbl 1220.03023
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[4] DOI: 10.2140/pjm.1978.75.397 · Zbl 0384.52001
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