Addition theorems in elementary Abelian groups, II
Journal of Number Theory, 1987 Let \(G\) be a commutative finite group. Given a sequence \(S=(a_1,\ldots,a_n)\) of elements of \(G\), \(a_i\neq 1\), define \[ \Sigma (S)=\{a_{i_1} a_{i_2}\cdots a_{i_k}: 1\leq ...
Chuang Peng
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Association schemes in which the thin residue is an elementary abelian p-group of rank 2 [PDF]
, 2015 Mitsugu Hirasaka, Kijung Kim
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Groups whose Chermak–Delgado lattice is a subgroup lattice of an elementary abelian p-group [PDF]
Communications in Algebra, 2021 The Chermak–Delgado lattice of a finite group G is a self-dual sublattice of the subgroup lattice of G. In this paper, we focus on finite groups whose Chermak–Delgado lattice is a subgroup lattice of an elementary abelian p-group.
Lijian An
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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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Broué's Conjecture Holds for Principal 3-Blocks with Elementary Abelian Defect Group of Order 9
, 2002 Shigeo Koshitani, Naoko Kunugi
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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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Groups of finite Morley rank with a generically multiply transitive action on an abelian group [PDF]
Model Theory, 2021 We investigate the configuration where a group of finite Morley rank acts definably and generically m -transitively on an elementary abelian p -group of Morley rank n , where p is an odd prime, and m ⩾ n .
A. Berkman, A. Borovik
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Formulas and Properties for Families of Theories of Abelian Groups
Известия Иркутского государственного университета: Серия "Математика", 2021 First-order formulas reflect an information for semantic and syntactic properties. Links between formulas and properties define their existential and universal interrelations which produce both structural and topological possibilities for characteristics
In. I. Pavlyuk, S.V. Sudoplatov
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On a Maximal Subgroup 2^6:(3^. S6) of M24 [PDF]
Mathematics Interdisciplinary Research, 2022 The Mathieu group M24 has a maximal subgroup of the form G ̅=N:G, where N=26 and G=3. S6 ≅ 3. PGL2 (9). Using Atlas, we can see that M24 has only one maximal subgroup of type 26:(3. S6). The group is a split extension of an elementary abelian group, N=26
Dennis Chikopela, Thekiso Seretlo
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