Results 81 to 90 of about 30,476 (209)
A note on local formulae for the parity of Selmer ranks
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3112-3132, October 2025.Abstract In this note, we provide evidence for a certain ‘twisted’ version of the parity conjecture for Jacobians, introduced in prior work of Dokchitser, Green, Konstantinou and the author. To do this, we use arithmetic duality theorems for abelian varieties to study the determinant of certain endomorphisms acting on p∞$p^\infty$‐Selmer groups.
Adam Morgan
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Class-preserving automorphisms and inner automorphisms of certain tree products of groups
Journal of Algebra, 2011 An automorphism \(\alpha\) of a group \(G\) is called class-preserving if, for each \(g\in G\), \(\alpha(g)\) and \(g\) are conjugate in \(G\). A group is said to have Property~A if all its class-preserving automorphisms are inner. Non-trivial free products are known to have Property~A; however, examples here show that there are generalized free ...
Zhou, Wei, Kim, Goansu
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A crossed product of a skew field of quaternions and four-group
Журнал Белорусского государственного университета: Математика, информатика, 2018 The article considers construction of generalized crossed product of an arbitrary quaternions skew field and Klein four-group relative to factor system. It is well known that such crossed product is semisimple ring.
Valery V. Kursov
doaj
Full factors, bicentralizer flow and approximately inner automorphisms [PDF]
, 2020 Amine Marrakchi
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Absolute central automorphisms that are inner
Indagationes Mathematicae, 2015 Abstract Let G be a finite p -group and let Aut l ( G ) be the group of absolute central automorphisms of G . In this paper we study some properties of autonilpotent group G and give necessary and sufficient conditions on G such that Aut l ( G ) = Inn ( G ) .
M.M. Nasrabadi, Z. Kaboutari Farimani
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Inner automorphisms of von Neumann algebras [PDF]
Communications in Mathematical Physics, 1974 It is first shown that a *-automorphism of a factor is inner if and only if it is asymptotically equal to the identity automorphism. Then it is shown that a periodic *-automorphism of a von Neumann algebra ℛ is inner if and only if its fixed point algebra is a normal subalgebra of ℛ.
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Locally inner automorphisms of algebras
Journal of Algebra, 1974 The connection between automorphisms of Azumaya algebras and the Picard group of the center has been noticed by Rosenberg-Zelinsky (RZ) [8], following a remark by Auslander-Goldman [l]. This connection has been generalized, using the Morita context, first by Bass [4] and more recently by Frohlich [5]. In my thesis I suggested another way of proving the
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Locally inner automorphisms of CC-groups
Journal of Algebra, 1991 An automorphism \(\phi\) of a group \(G\) is called locally inner if for each finite set \(\{x_ 1,\ldots,x_ n\}\) of elements of \(G\) there exists an element \(g\) of \(G\) such that \(x^ \phi_ i=x^ g_ i\) for each \(i=1,\ldots,n\). The locally inner automorphisms of \(G\) form a subgroup \(Linn(G)\) of the automorphism group \(Aut(G)\) of \(G\).
Otal, J, Peña, J.M, Tomkinson, M.J
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X-inner automorphisms of enveloping rings
Journal of Algebra, 1990 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Osterburg, James, Passman, D.S
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