Results 1 to 10 of about 250,418 (87)
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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Supersolvable automorphism groups of solvable groups
Mathematische Zeitschrift, 1983 A. Turull
semanticscholar +4 more sources
Solvable and supersolvable groups in which every element is conjugate to its inverse [PDF]
Pacific Journal of Mathematics, 1971 J. L. Berggren
semanticscholar +6 more sources
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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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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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 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
openaire +3 more sources
List decoding group homomorphisms between supersolvable groups [PDF]
, 2014 We show that the set of homomorphisms between two supersolvable groups can be locally list decoded up to the minimum distance of the code, extending the results of Dinur et al who studied the case where the groups are abelian.
Guo, Alan, Sudan, Madhu
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On the commuting probability and supersolvability of finite groups [PDF]
, 2013 For a finite group $G$, let $d(G)$ denote the probability that a randomly chosen pair of elements of $G$ commute. We prove that if $d(G)>1/s$ for some integer $s>1$ and $G$ splits over an abelian normal nontrivial subgroup $N$, then $G$ has a nontrivial ...
Lescot, Paul +2 more
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