Results 11 to 20 of about 67,282 (171)
An approach to Quillen’s conjecture via centralisers of simple groups
Forum of Mathematics, Sigma, 2021 For any given subgroup H of a finite group G, the Quillen poset ${\mathcal {A}}_p(G)$ of nontrivial elementary abelian p-subgroups is obtained from ${\mathcal {A}}_p(H)$ by attaching elements via their centralisers in H.
Kevin Iván Piterman
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Wielandt′s Theorem and Finite Groups with Every Non-nilpotent Maximal Subgroup with Prime Index
Journal of Harbin University of Science and Technology, 2023 In order to give a further study of the solvability of a finite group in which every non-nilpotent maximal subgroup has prime index, the methods of the proof by contradiction and the counterexample of the smallest order and a theorem of Wielandt on the ...
TIAN Yunfeng, SHI Jiangtao, LIU Wenjing
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Sum structures in abelian groups
Examples and Counterexamples, 2023 Any set S of elements from an abelian group produces a graph with colored edges G(S), with its points the elements of S, and the edge between points P and Q assigned for its “color” the sum P+Q.
Robert Haas
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A Characterization of Multipliers of the Herz Algebra
Axioms, 2023 For the characterization of multipliers of Lp(Rd) or more generally, of Lp(G) for some locally compact Abelian group G, the so-called Figa-Talamanca–Herz algebra Ap(G) plays an important role.
Hans G. Feichtinger
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Regular Cayley maps of elementary abelian p-groups: Classification and enumeration
Journal of Combinatorial Theory, Series A, 2023 Recently, regular Cayley maps of cyclic groups and dihedral groups have been classified. A nature question is to classify regular Cayley maps of elementary abelian $p$-groups $Z_p^n$. In this paper, a complete classification of regular Cayley maps of $Z_p^n$ is given and moreover, the number of these maps and their genera are enumerated.
Du, Shaofei, Yu, Hao, Luo, Wenjuan
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Representations of elementary abelian p-groups and finite subgroups of fields [PDF]
Journal of Pure and Applied Algebra, 2019 Suppose $\mathbb{F}$ is a field of prime characteristic $p$ and $E$ is a finite subgroup of the additive group $(\mathbb{F},+)$. Then $E$ is an elementary abelian $p$-group. We consider two such subgroups, say $E$ and $E'$, to be equivalent if there is an $α\in\mathbb{F}^*:=\mathbb{F}\setminus\{0\}$ such that $E=αE'$.
Campbell, H.E.A. +3 more
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Modular invariants detecting the cohomology of BF_4 at the prime 3 [PDF]
, 2007 Attributed to J F Adams is the conjecture that, at odd primes, the mod-p cohomology ring of the classifying space of a connected compact Lie group is detected by its elementary abelian p-subgroups.
Broto, Carles
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Rings associated to coverings of finite p-groups [PDF]
, 2016 In general the endomorphisms of a non-abelian group do not form a ring under the operations of addition and composition of functions. Several papers have dealt with the ring of functions defined on a group which are endomorphisms when restricted to the ...
Walls, Gary, Wang, Linhong
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The Segal conjecture for elementary abelian p-groups
Topology, 1985 Gunnar Carlsson has proved the Segal conjecture for finite groups: If \(G\) is a finite group, then the Segal map \(\pi^*_ G(S^ 0){\hat{\;}}\to \pi^*_ S(BG^+)\) is an isomorphism, where \(\pi^*_ G(S^ 0){\hat{\;}}\) denotes \(\pi^*_ G(S^ 0)\) completed at the augmentation ideal \(I(G)\) in the Burnside ring \(A(G)\). Carlsson's inductive argument starts
Adams, J.F. +2 more
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Elementary equivalence of endomorphism rings of Abelian p-groups
Journal of Mathematical Sciences, 2006 69 ...
Bunina, E. I., Mikhalev, A. V.
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