Results 21 to 30 of about 1,322,838 (185)
Normal Subgroups Contained in the Frattini Subgroup [PDF]
Proceedings of the American Mathematical Society, 1972 Let H be a normal subgroup of the finite group G. If H has a subgroup K which is normal in G, satisfies | K | > | K ∩ Z 1 ( H ) | = p |K| &
Hill, W. Mack, Wright, Charles R. B.
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, 2020 10 pages; to appear in DMTCS Proceedings (Formal Power Series and Algebraic Combinatorics)
Arreche, Carlos E., Williams, Nathan F.
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Characterizations of Fitting p-Groups whose Proper Subgroups are Solvable [PDF]
Advances in Group Theory and Applications, 2017 This work continues the study of infinitely generated groups whose proper subgroups are solvable and in whose homomorphic images normal closures of finitely generated subgroups are residually nilpotent. In [4], it has been shown that such a group, if not
A.O. Asar
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Normal closure and injective normalizer of a group homomorphism [PDF]
, 2014 Let $\varphi\colon\Gamma\to G$ be a homomorphism of groups. We consider factorizations $\Gamma\xrightarrow{f} M\xrightarrow{g} G$ of $\varphi$ such that either $g$ or $f$ are universal normal maps (namely, crossed modules).
E. Farjoun, Yoav Segev
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On Periodic Shunkov’s Groups with Almost Layer-finite Normalizers of Finite Subgroups
Известия Иркутского государственного университета: Серия "Математика", 2021 Layer-finite groups first appeared in the work by S.~N.~Chernikov (1945). Almost layer-finite groups are extensions of layer-finite groups by finite groups.
V.I. Senashov
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Hopf–Galois structures arising from groups with unique subgroup of order p [PDF]
, 2014 For $\Gamma$ a group of order $mp$ for $p$ prime where $gcd(p,m)=1$, we consider those regular subgroups $N\leq Perm(\Gamma)$ normalized by $\lambda(\Gamma)$, the left regular representation of $\Gamma$.
Timothy Kohl
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On Periodic Groups of Shunkov with the Chernikov Centralizers of Involutions
Известия Иркутского государственного университета: Серия "Математика", 2020 Layer-finite groups first appeared in the work by S.~N.~Chernikov (1945). Almost layer-finite groups are extensions of layer-finite groups by finite groups.
V.I. Senashov
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Maximal Compact Normal Subgroups [PDF]
Proceedings of the American Mathematical Society, 1987 A locally compact group G has a maximal compact subgroup if and only if \(G/G_ 0\) has a maximal compact subgroup (Theorem 1). In a totally disconnected locally compact group (such as \(G/G_ 0\) above), every compact subgroup is contained in an open compact subgroup; in particular, maximal compact subgroups are necessarily open.
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Punctured groups for exotic fusion systems
Transactions of the London Mathematical Society, 2023 The transporter systems of Oliver and Ventura and the localities of Chermak are classes of algebraic structures that model the p‐local structures of finite groups.
Ellen Henke, Assaf Libman, Justin Lynd
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Automorphism Groups and Isometries for Cyclic Orbit Codes [PDF]
Advances in Mathematics of Communications, 2021 We study orbit codes in the field extension \begin{document}$ \mathbb{F}_{q^n} $\end{document}. First we show that the automorphism group of a cyclic orbit code is contained in the normalizer of the Singer subgroup if the orbit is generated by a subspace
H. Gluesing-Luerssen, Hunter Lehmann
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