On the Order of the Schur Multiplier of a Pair of Finite p-Groups [PDF]
, 2013 In 1998, G. Ellis defined the Schur multiplier of a pair $(G,N)$ of groups and mentioned that this notion is a useful tool for studying pairs of groups.
A. Hokmabadi +3 more
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The local geometry of idempotent Schur multipliers [PDF]
Forum of Mathematics, PiA Schur multiplier is a linear map on matrices which acts on its entries by multiplication with some function, called the symbol. We consider idempotent Schur multipliers, whose symbols are indicator functions of smooth Euclidean domains.
Javier Parcet +2 more
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A Note on the Schur Multiplier of a Nilpotent Lie Algebra [PDF]
Communications in Algebra, 2011 Peyman Niroomand, Francesco G Russo
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Schur's exponent conjecture - counterexamples of exponent $5$ and exponent $9$ [PDF]
International Journal of Group Theory, 2021 There is a long-standing conjecture attributed to I. Schur that if $G$ is a finite group with Schur multiplier $M(G)$ then the exponent of $M(G)$ divides the exponent of $G$. In this note I give an example of a four generator group $G$ of order $5^{4122}$
Michael Vaughan-Lee
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Some results on schur multiplier of pairs of groups [PDF]
Mathematics and Computational Sciences, 2021 In this paper , we study the concept of the c-nilpotent multiplier of a pair of groups and prove that the c-nilpotent multipliers of perfect pairs of groups are isomorphic .Also, we prove an inequality for the order of the Schur multiplier of a pair of ...
H Arabyani
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Schur multiplier operator and matrix inequalities [PDF]
Journal of Mahani Mathematical Research, 2023 In this note we obtain a reverse version of the Haagerup Theorem. In particular, if $ A \in \mathbb{M}_{n}$ has a $ 2\times2- $ principal submatrix as $ \left[ \begin{array}{cc}1& \alpha \\\beta & 1\\\end{array}\right]$ with $ \beta \neq \bar{\alpha ...
Alemeh Sheikhhosseini
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On the occurrence of elementary abelian $p$-groups as the Schur multiplier of non-abelian $p$-groups
Comptes Rendus. Mathématique, 2023 We prove that every elementary abelian $p$-group, for odd primes $p$, occurs as the Schur multiplier of some non-abelian finite $p$-group.
Rai, Pradeep K.
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On Isoclinic Extensions of Lie Algebras and Nilpotent Lie Algebras
Discussiones Mathematicae - General Algebra and Applications, 2021 In this paper, we present the concept of isoclinism of Lie algebras and its relationship to the Schur multiplier of Lie algebras. Moreover, we prove some properties of a pair of nilpotent Lie algebras.
Arabyani Homayoon +1 more
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A Maximal Subgroup 2^{4+6}:(A_5 x 3) of G_2(4) Treated as a Non-Split Extension \overline{G} = 2^{6·}(2^4:(A_5 x 3)) [PDF]
Advances in Group Theory and Applications, 2020 The maximal subgroup $2^{4+6}{:}(A_5\times3)$ of the Chevalley group $G_2(4)$ is isomorphic to a non-split extension group of the shape $\overline{G}=2^{6}{{}^\cdot}(2^4{:}(A_5\times3))$.
Abraham Love Prins
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Some Upper Bounds for the Dimension of the c-Nilpotent Multiplier of a Pair of Lie Algebras
Discussiones Mathematicae - General Algebra and Applications, 2020 The notion of the Schur multiplier of a Lie algebra L was introduced by Batten in 1996. Recently, the first author introduced the concept of the cnilpotent multiplier of a pair of Lie algebras and gave some exact sequences for the c-nilpotent multiplier ...
Arabyani Homayoon +2 more
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