Results 11 to 20 of about 816 (210)
Faithful abelian groups of infinite rank [PDF]
Proceedings of the American Mathematical Society, 1988 Let B B be a subgroup of an abelian group G G such that G / B G/B is isomorphic to a direct sum of copies of an abelian group A A . For B B to be a direct summand of G G , it is necessary that G ...
Ulrich Albrecht
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The typeset and cotypeset of a rank 2 abelian group [PDF]
Pacific Journal of Mathematics, 1978 Phillip Schultz
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On the splitting of rank one Abelian groups
Journal of Algebra, 1971 A. E. Stratton
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Radical groups of finite abelian subgroup rank [PDF]
Illinois Journal of Mathematics, 1972 Reinhold Baer, Hermann Heineken
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An Elementary Abelian Group of Rank 4 Is a CI-Group
Journal of Combinatorial Theory, Series A, 2001 AbstractIn this paper we prove that Z4p is a CI-group; i.e., two Cayley graphs over the elementary abelian group Z4p are isomorphic if and only if their connecting sets are conjugate by an automorphism of the group Z4p.
Mitsugu Hirasaka, Mikhail Muzychuk
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An elementary abelian group of large rank is not a CI-group
Discrete Mathematics, 2003 AbstractIn this paper, we prove that the group Zpn is not a CI-group if n⩾2p−1+(2p−1p), that is there exist two Cayley digraphs over Zpn which are isomorphic but their connection sets are not conjugate by an automorphism of Zpn.
Mikhail Muzychuk
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Acentralizers of Abelian groups of rank 2
Hacettepe Journal of Mathematics and Statistics, 2019 Let $G$ be a group. The Acentralizer of an automorphism $\alpha$ of $G$, is the subgroup of fixed points of $\alpha$, i.e., $C_G(\alpha)= \{g\in G \mid \alpha(g)=g\}$. We show that if $G$ is a finite Abelian $p$-group of rank $2$, where $p$ is an odd prime, then the number of Acentralizers of $G$ is exactly the number of subgroups of $G$.
Zahar MOZAFAR, Bijan Taerı
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Square subgroups of rank two abelian groups [PDF]
Colloquium Mathematicum, 2009 A. M. Aghdam, Alireza Najafizadeh
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THE DP-RANK OF ABELIAN GROUPS [PDF]
The Journal of Symbolic Logic, 2019 AbstractAn equation to compute the dp-rank of any abelian group is given. It is also shown that its dp-rank, or more generally that of any one-based group, agrees with its Vapnik–Chervonenkis density. Furthermore, strong abelian groups are characterised to be precisely those abelian groups A such that there are only finitely many primes p such that the
Halevi, Yatir, Palacín Cruz, Daniel
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Cartan actions of higher rank abelian groups and their classification
Journal of the American Mathematical Society, 2023 We study R k × Z ℓ \mathbb {R}^k \times \mathbb {Z}^\ell actions on arbitrary compact manifolds with a projectively dense set of Anosov elements and 1-dimensional coarse Lyapunov foliations.
Ralf Spatzier, Kurt Vinhage
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