Results 81 to 90 of about 67,282 (171)
Elementary abelian subgroups in p-groups of class 2
, 2009 All the results in this work concern (finite) p-groups. Chapter 1 is concerned with classifications of some classes of p-groups of class 2 and there are no particularly new results in this chapter, which serves more as an introductory chapter. The "geometric" method we use for these classifications differs however from the standard approach, especially
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Large p-group actions with a p-elementary abelian derived group
Journal of Algebra, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Automorphisms of p-Groups Given as Cyclic-by-Elementary Abelian Central Extensions
Journal of Algebra, 2001 Let \(G\) be a \(p\)-group such that for a normal subgroup \(H\) of order \(p\), \(G/H\) is elementary Abelian. The author uses the known structure of such a group, being a central product of an extra-special and an Abelian group, to elucidate the structure of \(\Aut G\). In a first step it is proved that \(\Aut G\cong\Aut_NG\rtimes\langle\theta\rangle\
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On p-groups with a maximal elementary abelian normal subgroup of rank k
Journal of AlgebraThere are several results in the literature concerning $p$-groups $G$ with a maximal elementary abelian normal subgroup of rank $k$ due to Thompson, Mann and others. Following an idea of Sambale we obtain bounds for the number of generators etc. of a $2$-group $G$ in terms of $k$, which were previously known only for $p>2$.
Zoltán Halasi +3 more
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Some formulae relating modular representations of elementary abelian $p$-groups
15 ...
Elmer, Jonathan, Kadr, Kazal
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Explicit formulas for the cohomology of the elementary abelian $p$-groups
, 2020 Let $G$ be an elementary abelian $p$-group, $G\cong{\mathbb F}_p^r$ and let $s_1,\ldots,s_r$ be a basis of $G$ over ${\mathbb F}_p$. Let $V$ be the dual of $G$, $V={\rm Hom}(G,{\mathbb F}_p)=H^1(G,{\mathbb F}_p)$. Let $x_1,\ldots,x_r$ be the basis of $V$ over ${\mathbb F}_p$ which is dual to the basis $s_1,\ldots,s_r$ of $G$.
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On finite p-groups containing a maximal elementary abelian subgroup of order p2
Glasnik matematicki, 2011 We continue investigation of a p-group G containing a maximal elementary abelian subgroup R of order p2, p>2, initiated by Glauberman and Mazza [6]; case p=2 also considered. We study the structure of the centralizer of R in G. This reduces the investigation of the structure of G to results of Blackburn and Janko (see references).
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Elementary equivalence of the automorphism groups of reduced Abelian p-groups
, 2012 Consider unbounded reduced Abelian p-groups (p > 2) A and A'. In this paper, we prove that if the automorphism groups Aut A and Aut A' are elementary equivalent then the groups A and A' are equivalent in the second order logic bounded by the final rank of the basic subgroups of A and A'.
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Strongly Base-Two Groups. [PDF]
Vietnam J Math, 2023 Burness TC, Guralnick RM.
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Bounds for the Diameters of Orbital Graphs of Affine Groups. [PDF]
Vietnam J Math, 2023 Maróti A, Skresanov SV.
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