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On the Supersolvablity of Finite Groups

Bulletin of the Iranian Mathematical Society, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xianhe Zhao   +3 more
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On the Occurrence of Some Finite Groups in the Central Automorphism Group of Finite Groups

Mathematical Proceedings of the Royal Irish Academy, 2006
Let \(\Aut_cG\) denote the central automorphism group of the group \(G\) so that \(\Aut_cG=\{\sigma\in\Aut\,G\mid x^{-1}\sigma(x)\in Z(G)\), for all \(x\in G\}\), where \(Z(G)\) is the center of \(G\). It is an interesting question to determine those finite groups \(J\) such that there is a finite group \(G\) with \(\Aut_cG\cong J\). The case when \(J\)
Jafari, Mir-Haydar, Jamali, Ali-Reza
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Finite Permutation Groups and Finite Simple Groups

Bulletin of the London Mathematical Society, 1981
In the past two decades, there have been far-reaching developments in the problem of determining all finite non-abelian simple groups—so much so, that many people now believe that the solution to the problem is imminent. And now, as I correct these proofs in October 1980, the solution has just been announced.
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On the diameter of finite groups

Proceedings [1990] 31st Annual Symposium on Foundations of Computer Science, 2002
The diameter of a group G with respect to a set S of generators is the maximum over g in G of the length of the shortest word in S union S/sup -1/ representing g. This concept arises in the contexts of efficient communication networks and Rubik's-cube-type puzzles.
László Babai   +4 more
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On Finite Krutik‐Groups

Mathematische Nachrichten, 1993
AbstractThe structure of the finite Krutik‐groups is investigated. It is shown that they are solvable groups with very special properties.
Brandl, R., Deaconescu, M.
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On the solvability of finite groups

Archiv der Mathematik, 1988
In earlier papers the author has shown that normality of certain subgroups insures solvability or supersolvability. In this paper he shows that normality can be replaced by quasinormality. Let G be a finite group and define \(A_ 1=\{H\leq G:\) H has prime order or is cyclic of order \(4\}\), \(A_ 2=\{H\leq G:\) H has order 2p, p an odd prime\(\}\) and \
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On finite tetraprimary groups

Proceedings of the Steklov Institute of Mathematics, 2012
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Kondrat'ev, A. S., Khramtsov, I. V.
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