Results 11 to 20 of about 6,156 (235)
The Abelian Kernel of an Inverse Semigroup
Mathematics, 2020 The problem of computing the abelian kernel of a finite semigroup was first solved by Delgado describing an algorithm that decides whether a given element of a finite semigroup S belongs to the abelian kernel.
A. Ballester-Bolinches +1 more
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$p$-groups with maximal elementary abelian subgroups of rank $2$ [PDF]
, 2010 Let p be an odd prime number and G a finite p-group. We prove that if the rank of G is greater than p, then G has no maximal elementary abelian subgroup of rank 2.
Mazza, Nadia +3 more
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Connected components of the category of elementary abelian $p$-subgroups. [PDF]
, 2008 We determine the maximal number of conjugacy classes of maximal elementary abelian subgroups of rank $2$ in a finite $p$-group $G$, for an odd prime $p$. Namely, it is $p$ if $G$ has rank at least $3$ and it is $p+1$ if $G$ has rank $2$.
Mazza, Nadia
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Complementary dual abelian codes in group algebras of some finite abelian groups [PDF]
ITM Web of ConferencesLinear complementary dual codes have become an interesting sub-family of linear codes over finite fields since they can be practically applied in various fields such as cryptography and quantum error-correction. Recently, properties of complementary dual
Jitman Somphong
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On Undecidability of Finite Subsets Theory for Torsion Abelian Groups
Mathematics, 2022 Let M be a commutative cancellative monoid with an element of infinite order. The binary operation can be extended to all finite subsets of M by the pointwise definition. So, we can consider the theory of finite subsets of M.
Sergey Mikhailovich Dudakov
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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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Ranks for Families of Theories of Abelian Groups
Известия Иркутского государственного университета: Серия "Математика", 2019 The rank for families of theories is similar to Morley rank and can be considered as a measure for complexity or richness of these families. Increasing the rank by extensions of families we produce more rich families and obtaining families with the ...
In. I. Pavlyuk, S.V. Sudoplatov
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On the Genus of Finite Abelian Groups
European Journal of Combinatorics, 1980 The genus of a group is the minimum genus for any Cayley color graph of the group. Using the structure theorem for finite abelian groups and appropriate current graphs, we construct quadrilateral embeddings of minimum degree for such groups in almost all cases where this is consistent with the Euler formula, thereby determining the genus for these ...
Mark Jungerman, Arthur T. White
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Calabi–Yau threefolds and moduli of abelian surfaces I [PDF]
, 2001 We describe birational models and decide the rationality/unirationality of moduli spaces $\cal A$d (and $\cal A$levd) of (1, d)-polarized Abelian surfaces (with canonical level structure, respectively) for small values of d.
Sorin Popescu +3 more
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Remark on subgroup intersection graph of finite abelian groups
Open Mathematics, 2020 Let G be a finite group. The subgroup intersection graph Γ(G)\text{Γ}(G) of G is a graph whose vertices are non-identity elements of G and two distinct vertices x and y are adjacent if and only if |〈x〉∩〈y〉|>1|\langle x\rangle \cap \langle y\rangle
Zhao Jinxing, Deng Guixin
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