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Optimizing physical education strategies through circular intuitionistic Fuzzy Bonferroni based school policy formulation. [PDF]

Sci Rep
Ren F, Ren C.
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An algebraic approach to circulant column parity mixers. [PDF]

Des Codes Cryptogr
Subroto RC.
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Highest-Weight Vectors and Three-Point Functions in GKO Coset Decomposition. [PDF]

Commun Math Phys
Bershtein M, Feigin B, Trufanov A.
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Decision algorithm for picture fuzzy sets and Aczel Alsina aggregation operators based on unknown degree of wights. [PDF]

Heliyon
Hussain A, Liu Y, Ullah K, Rashid M, Senapati T, Moslem S.   +5 more
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NILPOTENCY IN UNCOUNTABLE GROUPS

Journal of the Australian Mathematical Society, 2016
The main purpose of this paper is to investigate the behaviour of uncountable groups of cardinality $\aleph$ in which all proper subgroups of cardinality $\aleph$ are nilpotent. It is proved that such a group $G$ is nilpotent, provided that $G$ has no infinite simple homomorphic images and either $\aleph$ has cofinality strictly larger than $\aleph _{0}
De Giovanni, Francesco, Trombetti, Marco
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Automorphism groups of nilpotent groups [PDF]

Archiv der Mathematik, 2003
\textit{M. Dugas} and \textit{R. Göbel} [Arch. Math. 54, No. 4, 340-351 (1990: Zbl 0703.20033)] proved the following result: if \(H\) is any group, there is a torsion-free nilpotent group \(G\) of class \(2\) such that \(\Aut(G)=H\ltimes\text{Stab}(G)\), where \(\text{Stab}(G)\) is the stability group of the series \(1\triangleleft Z(G)\triangleleft G\)
Rüdiger Göbel, Gábor Braun
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Automorphism Groups of Nilpotent Groups

Bulletin of the London Mathematical Society, 1989
Let \({\mathfrak X}\) denote the class of all finitely generated torsion-free nilpotent groups G such that the derived factor group G/G' is torsion- free. For G in \({\mathfrak X}\), let Aut *(G) denote the group of automorphisms of G/G' induced by the automorphism group of G. If G/G' has rank n and we choose a \({\mathbb{Z}}\)-basis for G/G' then Aut *
Bryant, R. M., Papistas, A.
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On the nilpotent multipliers of a group

Mathematische Zeitschrift, 1997
Let \(G\) be a group presented as a quotient of a free group \(F\) by a normal subgroup \(R\). The abelian group \(M^{(c)}(G)=(R\cap\gamma_{c+1}F)/\gamma_{c+1}(R,F)\) (\(c\geq 1\)) where \(\gamma_1F=F\), \(\gamma_{c+1}F=[\gamma_cF,F]\), \(\gamma_1(R,F)=R\), \(\gamma_{c+1}(R,F)=[\gamma_c(R,F),F]\) is called the \(c\)-nilpotent multiplier of \(G\).
Graham Ellis, John M. Burns
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A (locally nilpotent)-by-nilpotent variety of groups

Mathematical Proceedings of the Cambridge Philosophical Society, 2002
Given positive integers k and n, let [Xfr ] be the class of all groups G such that γk(G) is locally nilpotent and [x1, x2, …, xk]n = 1 for any x1, x2, …, xk ∈ G. It is shown that [Xfr ] is a variety.
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A Criterion for a Group to be Nilpotent

Bulletin of the London Mathematical Society, 1992
Let \(G\) be a finite group. The character degree frequency \(m_ G: \mathbb{N} \to \mathbb{Z}\) is defined \(m_ G(n) = |\{\chi \in \text{Irr }G\mid\chi(1) = n\}|\) and the class size frequency function \(w_ G: \mathbb{N} \to \mathbb{Z}\) by \(w_ G(n) = (1/n)|\{g \in G\mid| G: C_ G(g)| = n\}|\) which is the number of conjugacy classes of \(G\) with \(n\)
John Cossey, Trevor Hawkes, and Avinoam Mann   +2 more
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