Results 1 to 10 of about 974 (238)
Elementary abelian operator groups [PDF]
Bulletin of the Australian Mathematical Society, 1972 Suppose G is a finite solvable p′-group admitting the elementary abelian p–group A as an operator group. if n = max{nilpotent length of CG(X)| X ∈ A#} and |A| ≥ pn+2, then the nilpotent length of G is n.
Fletcher Gross
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Broué's conjecture for 2-blocks with elementary abelian defect groups of order 32 [PDF]
Advances in Group Theory and Applications, 2021 The first author recently classified the Morita equivalence classes of 2-blocks of finite groups with elementary abelian defect groups of order 32. In all but three cases he proved that the Morita equivalence class determines the inertial quotient of the
Cesare Giulio Ardito, Benjamin Sambale
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Elementary abelian subgroups: from algebraic groups to finite groups [PDF]
Transactions of the American Mathematical Society, 2023 We describe a new approach for classifying conjugacy classes of elementary abelian subgroups in simple algebraic groups over an algebraically closed field, and understanding the normaliser and centraliser structure of these. For toral subgroups, we give an effective classification algorithm.
Jianbei An +2 more
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On Group Codes Over Elementary Abelian Groups [PDF]
Sultan Qaboos University Journal for Science, 2003 For group codes over elementary Abelian groups we present definitions of the generator and the parity check matrices, which are matrices over the ring of endomorphism of the group.
Adnan A. Zain
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On Elementary Abelian Cartesian Groups [PDF]
Canadian Mathematical Bulletin, 1991 AbstractJ. Hayden [2] proved that, if a finite abelian group is a Cartesian group satisfying a certain "homogeneity condition", then it must be an elementary abelian group. His proof required the character theory of finite abelian groups. In this note we present a shorter, elementary proof of his result.
Anthony B. Evans
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Graph Labelings in Elementary Abelian 2-Groups [PDF]
Tokyo Journal of Mathematics, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yoshimi Egawa
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Unusual elementary axiomatizations for abelian groups [PDF]
, 2019 One of the most studied algebraic structures with one operation is the Abelian group, which is defined as a structure whose operation satisfies the associative and commutative properties, has identical element and every element has an inverse element. In this article, we characterize the Abelian groups with other properties and we even reduce it to two
Haydee Jiménez Tafúr +2 more
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Separating invariants for certain representations of the elementary Abelian p-groups of rank two
AIMS MathematicsFor a finite group acting linearly on a vector space, a separating set is a subset of the invariant ring that separates the orbits. In this paper, we determined explicit separating sets in the corresponding rings of invariants for four families of finite
Panpan Jia , Jizhu Nan, Yongsheng Ma
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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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Influence of complemented subgroups on the structure of finite groups [PDF]
International Journal of Group Theory, 2021 P. Hall proved that a finite group $G$ is supersoluble with elementary abelian Sylow subgroups if and only if every subgroup of $G$ is complemented in $G$. He called such groups complemented. A. Ballester-Bolinches and X.
Izabela Malinowska
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