Intersections of $\Gamma$-isotype subgroups in abelian groups
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- by Jindřich Bečvář PDF
- Proc. Amer. Math. Soc. 86 (1982), 199-204 Request permission
Abstract:
A subgroup $H$ of an abelian group $G$ is an intersection of isotype subgroups of $G$ if and only if, for each prime $p$, if $x + H$ is a coset of order $p$ then there is another coset of order $p$ containing an element $y$ of order $p$ such that $h_p^* (x) \leqslant h_p^*(y)$. A subgroup $H$ of $G$ is isotype in $G$ if and only if, for each prime $p$, every coset $x + H$ of order $p$ contains an element y of order $p$ such that $h_p^*(x)h_p^*(y)$References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 86 (1982), 199-204
- MSC: Primary 20K21
- DOI: https://doi.org/10.1090/S0002-9939-1982-0667272-9
- MathSciNet review: 667272