Results 61 to 70 of about 222 (165)
Strongly Base-Two Groups. [PDF]
Vietnam J Math, 2023 Burness TC, Guralnick RM.
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Groups in which Sylow subgroups and subnormal subgroups permute
Illinois Journal of Mathematics, 2003 A finite group is called a PST-group if its subnormal subgroups permute with its Sylow subgroups. It is shown that if \(G\) is a PST-group and \(H_1/K_1\) and \(H_2/K_2\) are isomorphic Abelian chief factors of \(G\) with \(H_1H_2\subseteq G'\), then these factors are \(G\)-isomorphic (Theorem 2).
Ballester-Bolinches, A. +2 more
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Brauer characters and normal Sylow p-subgroups [PDF]
Journal of Algebra, 2018 Statements of Claim (1) in Theorems 2.6 and 3.3 are ...
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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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F^ω-injectors of finite groups [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаOnly finite groups and classes of finite groups are considered. $\frak F$-injectors (B. Fischer, W. Gaschutz, B. Hartley, 1967) and $\frak F$-projectors (W.
Sorokina, Marina M., Novikova, Diana G.
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On second minimal subgroups of Sylow subgroups of finite groups
Journal of Algebra, 2011 A subgroup H of a finite group G is a partial CAP-subgroup of G if there is a chief series of G such that H either covers or avoids its chief factors. Partial cover and avoidance property has turned out to be very useful to clear up the group structure.
Ballester-Bolinches, Adolfo +2 more
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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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Finite groups with certain subgroups of Sylow subgroups complemented
Journal of Algebra, 2010 Let \(\mathcal I\) be a saturated formation containing the class of supersoluble groups, \(G\) be a finite group with a normal subgroup \(E\) such that \(G/E\in\mathcal I\), and \(F^*(E)\) the generalised Fitting subgroup of \(E\). Theorem 1.3: If \(P\) is a Sylow subgroup of \(E\) and \(P\) has a proper subgroup \(D\) such that each subgroup \(H\) of \
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