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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 372))

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Abstract

A group G is defined to be hypocritical if, whenever G is in a locally finite variety V of groups and G is a section closed class of groups which generates V, then G ε G. The critical groups which for some prime p are an extension of an abelian p-group by a p′-group are considered from the standpoint of hypocriticality.

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References

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M. F. Newman

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© 1974 Springer-Verlag

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Harris, L.F. (1974). Hypocritical and sincere groups. In: Newman, M.F. (eds) Proceedings of the Second International Conference on The Theory of Groups. Lecture Notes in Mathematics, vol 372. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065184

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  • DOI: https://doi.org/10.1007/BFb0065184

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  • Print ISBN: 978-3-540-06833-4

  • Online ISBN: 978-3-540-37801-3

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