Two applications of twisted wreath products to finite soluble groups

Hawkes, Trevor O.

doi:10.1090/S0002-9947-1975-0379657-X

Two applications of twisted wreath products to finite soluble groups
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by Trevor O. Hawkes PDF

Trans. Amer. Math. Soc. 214 (1975), 325-335 Request permission

Abstract:

The group construction sometimes known as the twisted wreath product is used here to answer two questions in the theory of finite, soluble groups: first to show that an arbitrary finite, soluble group may be embedded as a subgroup of a group whose upper nilpotent series is a chief series; second to construct an A-group whose Carter subgroup is “small” relative to its nilpotent length.

References

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