Two applications of twisted wreath products to finite soluble groups
Author:
Trevor O. Hawkes
Journal:
Trans. Amer. Math. Soc. 214 (1975), 325-335
MSC:
Primary 20D10
DOI:
https://doi.org/10.1090/S0002-9947-1975-0379657-X
MathSciNet review:
0379657
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Abstract | References | Similar Articles | Additional Information
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 βsmallβ relative to its nilpotent length.
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Additional Information
Keywords:
Twisted wreath product,
nilpotent length,
Clifford theory,
primitive group,
Carter subgroup
Article copyright:
© Copyright 1975
American Mathematical Society
