Results 11 to 20 of about 8,932 (60)
Classifying group algebras in which the socle of the center is an ideal [PDF]
Communications in Algebra, 2023 Let F be a field. We study the structure of finite groups G for which the socle of the center of the group algebra FG is an ideal in FG. In previous work (Brenner-Külshammer, 2024), we studied which general implications this ring-theoretic property of FG
Sofia Brenner
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The socle of the group algebra of a finite p-group [PDF]
Journal of Algebra, 2023 Let $G$ be a finite $p$-group, and $\alpha$ an automorphism of the group algebra ${\mathbb F}_pG$. Then $\alpha$ fixes the socle of ${\mathbb F}_pG$ pointwise.
D. Benson
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Group algebras in which the socle of the center is an ideal [PDF]
Annals of Representation Theory, 2022 Let $F$ be a field of characteristic $p>0$. We study the structure of the finite groups $G$ for which the socle of the center of $FG$ is an ideal in $FG$ and classify the finite $p$-groups $G$ with this property. Moreover, we give an explicit description
Sofia Brenner, Burkhard Kulshammer
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A classification of finite primitive IBIS groups with alternating socle [PDF]
Journal of group theroy, 2022 Let 𝐺 be a finite permutation group on Ω. An ordered sequence ( ω 1 , … , ω ℓ ) (\omega_{1},\ldots,\omega_{\ell}) of elements of Ω is an irredundant base for 𝐺 if the pointwise stabilizer is trivial and no point is fixed by the stabilizer of its ...
Melissa Lee, Pablo Spiga
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On construction of k-regular maps to Grassmannians via algebras of socle dimension two [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2021 A continuous map $\mathbb{C}^n\to Gr(\tau, N)$ is $k$-regular if the $\tau$-dimensional subspaces corresponding to images of any $k$ distinct points span a $\tau k$-dimensional space. For $\tau = 1$ this essentially recovers the classical notion of a $k$-
J. Jelisiejew, H. Keneshlou
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Jacobson’s theorem on derivations of primitive rings with nonzero socle: a proof and applications
European Journal of Mathematics, 2023 We provide a proof of Jacobson’s theorem on derivations of primitive rings with nonzero socle. Both Jacobson’s theorem and its formulation (in terms of the so-called differential operators on left vector spaces over a division ring) underlie our paper ...
Á. Rodríguez Palacios +1 more
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International Journal of Biological and Chemical Sciences, 2022 La région d’étude est située en zone de socle dans la commune rurale de Torodi, partie sud-ouest du Niger, où l’alimentation en eau des populations est faite à partir des eaux de surfaces et des nappes superficielles.
Samaila Djoumaye Djahadi +4 more
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Socle equivalences of weighted surface algebras [PDF]
, 2020 We describe the structure and properties of the finite-dimensional symmetric algebras over an algebraically closed field $K$ which are socle equivalent to the general weighted surface algebras of triangulated surfaces, investigated in Erdmann and ...
J. Białkowski +4 more
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The socle tableau as a dual version of the Littlewood–Richardson tableau [PDF]
Journal of the London Mathematical Society, 2020 Like the LR‐tableau, a socle tableau is given as a skew diagram with certain entries. Unlike in the LR‐tableau, the entries in the socle tableau are weakly increasing in each row, strictly increasing in each column and satisfy a modified lattice ...
J. Kosakowska, M. Schmidmeier
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Characterizations of a commutative semisimple modular annihilator Banach algebra through its socle
, 2021 Let A be a commutative complex semisimple Banach algebra. In this paper we continue the study of kh(soc(A)). Thus we will give, among other things, some new characterizations of this ideal in terms of the closure, in the spectral radius norm, of the ...
Youness Hadder, A. El amrani
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