Elementary abelian group - Open Access .click

Archiv der Mathematik, 1986
Let A be a finite abelian group, let \(U^.(A)\) be the group of units of \({\mathbb{Z}}A\) modulo torsion and let \({\dot \alpha}\): \(\prod_{C}U^.(C)\to U^.(A)\) be the natural homomorphism, where the product is direct and C runs over all cyclic subgroups \(\neq 1\) of A. In this note the authors prove the following result. Theorem.
K. Hoechsmann, S. Sehgal
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Pointwise bound for ℓ-torsion in class groups: Elementary abelian extensions

Journal für die Reine und Angewandte Mathematik, 2020
Elementary abelian groups are finite groups in the form of A = ( ℤ / p ⁢ ℤ ) r {A=(\mathbb{Z}/p\mathbb{Z})^{r}} for a prime number p. For every integer ℓ > 1 {\ell>1} and r > 1 {r>1} , we prove a non-trivial upper bound on the ℓ {\ell} -torsion in class ...
Jiuya Wang
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Modular Representations and Elementary Abelian Groups

, 2017
D. Benson
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