Results 91 to 100 of about 266 (183)
Sylow subgroups, exponents, and character values
Transactions of the American Mathematical Society, 2019 If G G is a finite group, p
Navarro, Gabriel, Tiep, Pham Huu
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Finite simple groups with some abelian Sylow subgroups
Kuwait Journal of Science, 2016 In this paper, we classify the finite simple groups with an abelian Sylow subgroup.
Rulin Shen, Yuanyang Zhou
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On Sylow Subgroups of Local Galois-Groups
Journal of Algebra, 1995 Let \(p\) be an odd prime, and let \({\mathcal P}\) denote the class of \(p\)- groups which occur as Sylow \(p\)-subgroups of finite Galois groups over the \(p\)-adic field \(\mathbb{Q}_p\). It is proved that \({\mathcal P}\) contains every abelian \(p\)-group of rank \(\leq (p - 1)^2\), and that certain nonabelian \(p\)-groups do not belong to ...
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A Transfer Result for Powerful Sylow Subgroups
Journal of Algebra, 1995 By \(P^n\) we denote the subgroup generated by all \(n\)-th powers of elements of \(P\). A \(p\)-group \(P\) is called powerful if either \(p\) is odd, and \(P^p\geq P'\), or \(p=2\), and \(P^4\geq P'\). A \(p\)-group \(P\) is called regular if for every \(x,y\in P\) we have \((xy)^p\equiv x^py^p\bmod (H')^p\), where \(H=\langle x,y\rangle\). Let \(G\)
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On Cover-Avoiding Subgroups of Sylow Subgroups of Finite Groups
Rendiconti del Seminario Matematico della Università di Padova, 2010 A subgroup H of a finite group G is called to have the cover-avoidance property in G
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Cycle type in Hall–Paige: a proof of the Friedlander–Gordon–Tannenbaum conjecture
Forum of Mathematics, SigmaAn orthomorphism of a finite group G is a bijection $\phi \colon G\to G$ such that $g\mapsto g^{-1}\phi (g)$ is also a bijection. In 1981, Friedlander, Gordon, and Tannenbaum conjectured that when G is abelian, for any $k\geq 2 ...
Alp Müyesser
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Finite groups with submodular sylow subgroups
Siberian Mathematical Journal, 2015 A subgroup \(H\) of a finite group \(G\) is called submodular in \(G\) if \(H\) can be joined with \(G\) by a chain of subgroups each of which is modular in the subsequent one. The author studies the class \(\mathfrak X\) of all finite groups with submodular Sylow subgroups. It was proved by \textit{I. Zimmermann} [Math. Z. 202, No.
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Unit groups of some multiquadratic number fields and 2-class groups. [PDF]
Period Math Hung, 2022 Chems-Eddin MM.
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Modularity of PGL2(𝔽p)-representations over totally real fields. [PDF]
Proc Natl Acad Sci U S A, 2021 Allen PB, Khare CB, Thorne JA.
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