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On commutators and powers in groups. II - MaRDI portal

On commutators and powers in groups. II (Q1076143)

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scientific article; zbMATH DE number 3953064
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English
On commutators and powers in groups. II
scientific article; zbMATH DE number 3953064

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    On commutators and powers in groups. II (English)
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    1986
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    It is perhaps rather surprising that a variety of groups defined by commutator identities with independent entries can have proper p-torsion, but such examples have already been given by the present author in part I [Bull. Lond. Math. Soc. 15, 239-246 (1983; Zbl 0487.20026)]. Here he gives examples of such varieties which have proper \(\pi\)-torsion for any finite set \(\pi\) of primes.
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    variety of groups
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    commutator identities
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    proper \(\pi \) -torsion
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