Results 71 to 80 of about 68,261 (266)
Communications in Advanced Mathematical Sciences, 2019 The theory of $p$-ramification, regarding the Galois group of the maximal pro-$p$-extension of a number field $K$, unramified outside $p$ and $\infty$, is well known including numerical experiments with PARI/GP programs.
Georges Gras
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Elementary Abelian $p$ Subgroups of Lie Groups
Publications of the Research Institute for Mathematical Sciences, 1991 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kane, Richard, Notbohm, Dietrich
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Residually rationally solvable one‐relator groups
Bulletin of the London Mathematical Society, EarlyView.Abstract We show that the intersection of the rational derived series of a one‐relator group is rationally perfect and is normally generated by a single element. As a corollary, we characterise precisely when a one‐relator group is residually rationally solvable.
Marco Linton
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A characterisation of elementary abelian 3-groups
, 2016 Tarnauceanu [Archiv der Mathematik, 102 (1), (2014), 11--14] gave a characterisation of elementary abelian $2$-groups in terms of their maximal sum-free sets. His theorem states that a finite group $G$ is an elementary abelian $2$-group if and only if the set of maximal sum-free sets coincides with the set of complements of the maximal subgroups.
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Elementary theory of free non-abelian groups
Journal of Algebra, 2006 For a group \(G,\) the elementary theory \(\text{Th}(G)\) of \(G\) is the set of all first-order sentences in the language of group theory which are true in \(G.\) Around 1945 Tarski formulated two conjectures about the elementary theory of a free group.
Kharlampovich, Olga, Myasnikov, Alexei
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Torsion classes of extended Dynkin quivers over commutative rings
Bulletin of the London Mathematical Society, EarlyView.Abstract For a Noetherian R$R$‐algebra Λ$\Lambda$, there is a canonical inclusion torsΛ→∏p∈SpecRtors(κ(p)Λ)$\mathop {\mathsf {tors}}\Lambda \rightarrow \prod _{\mathfrak {p}\in \operatorname{Spec}R}\mathop {\mathsf {tors}}(\kappa (\mathfrak {p})\Lambda)$, and each element in the image satisfies a certain compatibility condition.
Osamu Iyama, Yuta Kimura
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The essential ideal is a Cohen-Macaulay module
, 2004 Let G be a finite p-group which does not contain a rank two elementary abelian p-group as a direct factor. Then the ideal of essential classes in the mod-p cohomology ring of G is a Cohen-Macaulay module whose Krull dimension is the p-rank of the centre ...
Green, David J.
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Radical preservation and the finitistic dimension
Bulletin of the London Mathematical Society, EarlyView.Abstract We introduce the notion of radical preservation and prove that a radical‐preserving homomorphism of left artinian rings of finite projective dimension with superfluous kernel reflects the finiteness of the little finitistic, big finitistic, and global dimension.
Odysseas Giatagantzidis
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Elementary abelian operator groups
Manuscripta Mathematica, 1994 Let \(A\) be an elementary abelian \(p\)-group which acts on a solvable \(p'\)- group \(G\). If \(\phi \in A\), \(C_ G(\phi)\) denotes the fixed point subgroup of \(\phi\). Previous results of \textit{A. Turull} [J. Algebra 86, 555-566 (1984; Zbl 0526.20017)] and of \textit{F. Gross} [Bull. Aust. Math. Soc.
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Profinite direct sums with applications to profinite groups of type ΦR$\Phi _R$
Bulletin of the London Mathematical Society, EarlyView.Abstract We show that the ‘profinite direct sum’ is a good notion of infinite direct sums for profinite modules, having properties similar to those of direct sums of abstract modules. For example, the profinite direct sum of projective modules is projective, and there is a Mackey's formula for profinite modules described using these sums.
Jiacheng Tang
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