On groups of finite weight
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- by P. Kutzko PDF
- Proc. Amer. Math. Soc. 55 (1976), 279-280 Request permission
Abstract:
A subset $S$ of a group $G$ is said to normally generate $G$ if the smallest normal subgroup of $G$ which contains $S$ is $G$ itself. If $\alpha$ is minimal with the property that there exist a set of cardinality $\alpha$ which normally generates $G$ then $G$ is said to have weight $\alpha$. It is shown that if $G$ is a group of finite weight and if the lattice of those normal subgroups of $G$ which are contained in the commutator subgroup $G’$ of $G$ satisfies the minimum condition then the weight of $G$ is equal to the weight of $G/G’$.References
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F. González-Acuña, Homomorphs of knot groups (to appear).
- Michel A. Kervaire, On higher dimensional knots, Differential and Combinatorial Topology (A Symposium in Honor of Marston Morse), Princeton Univ. Press, Princeton, N.J., 1965, pp. 105–119. MR 0178475
- L. P. Neuwirth, Knot groups, Annals of Mathematics Studies, No. 56, Princeton University Press, Princeton, N.J., 1965. MR 0176462
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 55 (1976), 279-280
- DOI: https://doi.org/10.1090/S0002-9939-1976-0399272-8
- MathSciNet review: 0399272