Results 1 to 10 of about 228,002 (82)
Some results on π-solvable and supersolvable groups
International Journal of Mathematics and Mathematical Sciences, 1994 For a finite group G, ϕp(G), Sp(G), L(G) and S𝒫(G) are generalizations of the Frattini subgroup of G. We obtain some results on π-solvable, p-solvable and supersolvable groups with the help of the structures of these subgroups.
T. K. Dutta, A. Bhattacharyya
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International Journal of Mathematics and Mathematical Sciences, 1997 Let G be a finite group and H be an operator group of G. In this short note, we show a relationship between subnormal subgroup chains and H-invariant subgroup chains.
Yanming Wang
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On non-normal cyclic subgroups of prime order or order 4 of finite groups
Open Mathematics, 2021 In this paper, we call a finite group GG an NLMNLM-group (NCMNCM-group, respectively) if every non-normal cyclic subgroup of prime order or order 4 (prime power order, respectively) in GG is contained in a non-normal maximal subgroup of GG.
Guo Pengfei, Han Zhangjia
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Some characterizations of $\pi$-solvable and supersolvable groups using $\theta$-pairs
Publicationes Mathematicae Debrecen, 2002 Summary: For a finite group \(G\), \(D_p(G)\) is a generalization of the Frattini subgroup of \(G\). We obtain some results on \(\pi\)-solvable and supersolvable groups with the help of \(D_p(G)\) using \(\theta\)-pairs.
Dutta, T. K., Sen, P.
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A note on $1$-factorizability of quartic supersolvable Cayley graphs [PDF]
Transactions on Combinatorics, 2018 Alspach et al. conjectured that every quartic Cayley graph on an even solvable group is $1$-factorizable. In this paper, we verify this conjecture for quartic Cayley graphs on supersolvable groups of even order.
Milad Ahanjideh, Ali Iranmanesh
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Solvable and supersolvable groups in which every element is conjugate to its inverse [PDF]
Pacific Journal of Mathematics, 1971 J. L. Berggren
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Supersolvable automorphism groups of solvable groups
Mathematische Zeitschrift, 1983 A. Turull
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On solvable groups with one vanishing class size [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2020 Let G be a finite group, and let cs(G) be the set of conjugacy class sizes of G. Recalling that an element g of G is called a vanishing element if there exists an irreducible character of G taking the value 0 on g, we consider one particular subset of cs(
M. Bianchi +3 more
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Some results on π‐solvable and supersolvable groups [PDF]
International Journal of Mathematics and Mathematical Sciences, 1993 For a finite group G, ϕp(G), Sp(G), L(G) and S𝒫(G) are generalizations of the Frattini subgroup of G. We obtain some results on π‐solvable, p‐solvable and supersolvable groups with the help of the structures of these subgroups.
T. K. Dutta, A. Bhattacharyya
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A result on s-semipermutable subgroups of finite groups and some applications [PDF]
Communications in Algebra, 2022 –Let p be a prime number, G be a p-solvable finite group and P be a Sylow p-subgroup of G. We prove that G is p-supersolvable if is p-supersolvable and if there is a subgroup H of P with such that H is s-semipermutable in G.
F. Aseeri, J. Kaspczyk
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