Results 21 to 30 of about 280 (183)
Groups with an abelian Sylow subgroup [PDF]
Proceedings of the American Mathematical Society, 1977 The purpose of this note is to obtain a modular refinement of Brauer’s induction theorem for groups with an abelian Sylow subgroup.
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On the heritability of the Sylow -theorem by subgroups [PDF]
Sbornik: Mathematics, 2020 Abstract Let be a set of primes. We say that the Sylow
Vdovin, Evgeniĭ P. +2 more
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GROUPS WITH ABELIAN SYLOW SUBGROUPS [PDF]
Journal of the Australian Mathematical Society, 2009 AbstractFinite groups with abelian Sylow p-subgroups for certain primes p are characterized in terms of arithmetical properties of commutators.
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Towards a group theoretical proof of the Frobenius theorem [PDF]
Journal of Mahani Mathematical ResearchThe Frobenius finite group was defined by Frobenius more than 100 years ago to be a group with a non-trivial proper subgroup $H$ whose intersection with all of its conjugates is the trivial group.
Mohammad Reza Darafsheh
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$4$-quasinormal subgroups of prime order [PDF]
International Journal of Group Theory, 2020 Generalizing the concept of quasinormality, a subgroup $H$ of a group $G$ is said to be 4-quasinormal in $G$ if, for all cyclic subgroups $K$ of $G$, $\langle H,K\rangle=HKHK$.
Stewart Stonehewer
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A new approach to character-free proof for Frobenius theorem [PDF]
AUT Journal of Mathematics and Computing, 2023 Let G be a Frobenius group. Using character theory, it is proved that the Frobenius kernel of G is a normal subgroup of G, which is well-known as a Frobenius theorem. There is no known character-free proof for Frobenius theorem. In this note, we prove it,
Seyedeh Fatemeh Arfaeezarandi +1 more
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Maximal Sylow Subgroups of a Given Group. [PDF]
Proc Natl Acad Sci U S A, 1942 Not ...
Miller GA.
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On Smarandache Semigroups [PDF]
Kirkuk Journal of Science, 2011 In this work we study some type of Smarandache semigroups and Smarandache subgroups of a semigroup such as Smarandache cyclic semigroups, Smarandache p- Sylow subgroups and Smarandache normal subgroups. In addition we introduce the concept of Smarandache
Parween A. Hummadi, Pishtewa M. Dashtiy
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The Sylow Subgroups of the Symmetric Group [PDF]
Transactions of the American Mathematical Society, 1904 In the Sylow theorems t we learn that if the order of a group 9 is divisible by pa (p a prime integer) and not by pa+l, then W contains one and only one set of conjugate subgroups of order pa , and any subgroup of W whose order is a power of p is a subgroup of some member of this set of conjugate subgroups of W.
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Supersoluble conditions and transfer control [PDF]
International Journal of Group Theory, 2013 In this paper we give a new condition for a Sylow p-subgroup of a finite group to control transfer. Then it is deduced a characterization of supersoluble group that can be seen as a generalization of the well konwn result concerning the supersolubility ...
Anna Luisa Gilotti, Luigi Serena
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