Yoshifumi Matsuda, Shin-ichi Oguni, Saeko Yamagata
Abstract
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We prove that a countable group with an effective minimal non-elementary convergence group action is a Powers group. More strongly we prove that it is a strongly Powers group and thus its non-trivial subnormal subgroups are $C^*$-simple.
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We prove that a countable group with an effective minimal non-elementary convergence group action is a Powers group. More strongly we prove that it is a strongly Powers group and thus its non-trivial subnormal subgroups are $C^*$-simple.
Key concepts: Countable set, Group (periodic table), Simplicity, Convergence (economics), Mathematics, Simple (philosophy), Action (physics), Group action