Results 11 to 20 of about 72,032 (249)
Varieties and elementary Abelian groups
Journal of Pure and Applied Algebra, 1982 J. L. Alperin, Leonard Evens
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Addition theorems in elementary Abelian groups, II
Journal of Number Theory, 1987 AbstractWe discuss the set of all products over subsequences of a sequence in a finite elementary Abelian group of type (p, p), and we prove the Olson's conjecture r(Zp × Zp) = 2p − 1.
Chuang Peng
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On stable cohomology of central extensions of elementary abelian groups [PDF]
, 2018 We study when kernels of inflation maps associated to extraspecial p-groups in stable group cohomology are generated by their degree two components. This turns out to be true if the prime is large enough compared to the rank of the elementary abelian quotient, but false in general.
Fedor Bogomolov +2 more
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Non-Abelian braiding of graph vertices in a superconducting processor [PDF]
Nature, 2023 Yuri D Lensky, M R Hoffmann, Jiun How Ng
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The BP cohomology of elementary abelian groups
Journal of the London Mathematical Society, 2000 In this paper we study E^*BV_k, where E=BP is a cohomology theory with coefficient ring F_p[v_m,...,v_n] (if m>0) or Z_(p)[v_1,...,v_n] (if m=0). We use ideas from the theory of multiple level structures, developed in earlier work of the author with John Greenlees. Our results apply when k is less than or equal to w=n+1-m.
Neil Strickland
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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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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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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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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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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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