Results 31 to 40 of about 67,282 (171)
A note on automorphisms of finite p-groups [PDF]
, 2015 Let G be a finite non-cyclic p-group of order at least p^3. If G has an abelian maximal subgroup, or if G has an elementary abelian centre and is not strongly Frattinian, then the order of G divides the order the its automorphism ...
Anitha Thillaisundaram +4 more
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Some Hopf Galois structures arising from elementary abelian $p$-groups [PDF]
Proceedings of the American Mathematical Society, 2007 Let \(L/K\) be a Galois extension of fields with Galois group \(\Gamma\), and a \(K\)-Hopf algebra \(H\) that acts on \(L\) making \(L\) a Hopf Galois extension. Then \(L\otimes_KH\cong LG\) for some group \(G\) such that \(|G|=|\Gamma|\), where \(G\) is called the associated group of \(H\). Using the relationship in [\textit{N. P.
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Elementary equivalence of automorphism groups of reduced Abelian p-groups [PDF]
Moscow University Mathematics Bulletin, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Finite self-similar p-groups with abelian first level stabilizers
, 2010 We determine all finite p-groups that admit a faithful, self-similar action on the p-ary rooted tree such that the first level stabilizer is abelian. A group is in this class if and only if it is a split extension of an elementary abelian p-group by a ...
Berlatto A. +9 more
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Complexity and elementary abelian p-groups
Journal of Algebra, 1984 Let G be a finite group and k a field of characteristic \(p>0\). If M is a finitely generated kG-module and \(...\to P_ m\to P_{m-1}\to...\to P_ 0\to M\to 0\) a minimal projective resolution of M, then the complexity, \(c_ G(M)\), of M is the least integer \(s\geq 0\) such that \(\lim_{m\to \infty}\dim_ kP_ m/m^ s=0.\) \textit{J. L.
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Actions of elementary Abelian p-groups
Topology, 1988 An n-dimensional near-manifold X is a locally compact topological space X such that for a closed subset \(S\subset X\), \(\dim S\leq n-2,\) X-S is a non-empty n-dimensional manifold. This definition has its usual generalizations and it is motivated by considering complex varieties with singular set S. The author continues the study of actions of \(G=({\
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Representations of elementary abelian p-groups and bundles on Grassmannians
Advances in Mathematics, 2012 We initiate the study of representations of elementary abelian $p$-groups via restrictions to truncated polynomial subalgebras of the group algebra generated by $r$ nilpotent elements, $k[t_1,..., t_r]/(t^p_1,..., t_r^p)$. We introduce new geometric invariants based on the behavior of modules upon restrictions to such subalgebras.
Carlson, Jon F. +2 more
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Rings of invariants for modular representations of elementary abelian p-groups [PDF]
Transformation Groups, 2013 We have corrected the statement of Theorem 5.4 and the proofs of Theorems 7.4, 8.6, and 8 ...
Campbell, H. E. A. +2 more
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On the BP-cohomology of elementary abelian p-groups
Transactions of the American Mathematical Society, 2013 Minor revision (18 pages)
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Skew-morphisms of elementary abelian 𝑝-groups
Journal of Group TheoryAbstract A skew-morphism of a finite group 𝐺 is a permutation 𝜎 on 𝐺 fixing the identity element, and for which there exists an integer-valued function 𝜋 on 𝐺 such that σ
Du, Shaofei +3 more
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