Results 11 to 20 of about 235,315 (244)

Elementary abelian subgroups in some special p-groups [PDF]

open access: greenJournal of Group Theory, 2017
Abstract Let P be a finite p-group and p an odd prime. Let 𝒜 p ⁱ
Xingzhong Xu
openalex   +5 more sources

Separating invariants for certain representations of the elementary Abelian p-groups of rank two

open access: goldAIMS Mathematics
For 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
doaj   +2 more sources

Addition theorems in elementary Abelian groups, II

open access: bronzeJournal 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
openalex   +3 more sources

Varieties and elementary Abelian groups

open access: bronzeJournal of Pure and Applied Algebra, 1982
J. L. Alperin, Leonard Evens
openalex   +3 more sources

Real Equivariant Bordism for elementary abelian 2-groups [PDF]

open access: yesHomology, Homotopy and Applications, Vol. 15 (2013), No. 1, pp.235-251, 2012
We give a description of real equivariant bordism for elementary abelian 2-groups, which is similar to the description of complex equivariant bordism for the group S^1 x ... x S^1 given by Hanke in 2005.
arxiv   +6 more sources

On stable cohomology of central extensions of elementary abelian groups [PDF]

open access: green, 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
openalex   +4 more sources

The BP cohomology of elementary abelian groups

open access: greenJournal 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
openalex   +5 more sources

Broué's conjecture for 2-blocks with elementary abelian defect groups of order 32 [PDF]

open access: yesAdvances 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
doaj   +1 more source

On the occurrence of elementary abelian $p$-groups as the Schur multiplier of non-abelian $p$-groups

open access: yesComptes 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.
doaj   +1 more source

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