On Jacobians with group action and coverings
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DOI: 10.1007/s00209-019-02263-3
Abstract: Let S be a compact Riemann surface and let H be a finite group. It is known that if H acts on S ,Ā then there is a H -equivariant isogeny decomposition of the Jacobian… read more here.
Keywords: group action; decomposition; group algebra; algebra decomposition ... See more keywords
Cā-simplicity of free products with amalgamation and radical classes of groups
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DOI: 10.1016/j.jfa.2016.12.011
Abstract: Abstract We give new characterizations to ensure that a free product of groups with amalgamation has a simple reduced group C ā -algebra, and provide a concrete example of an amalgam with trivial kernel, such… read more here.
Keywords: reduced group; group algebra; free products; simplicity free ... See more keywords
Units in modular group algebra
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DOI: 10.1080/00927872.2016.1172608
Abstract: ABSTRACT Let ????(FG) denotes the unit group of FG. In this article, we compute theorder of in terms of the order of ????(FG) for an arbitrary finite group G, where is the cyclic group of… read more here.
Keywords: modular group; units modular; group algebra; group ... See more keywords
Structure of the unitary subgroup of the group algebra ????2n(QD)16
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DOI: 10.1142/s0219498818500603
Abstract: In this paper, we established the structure of unitary unit subgroup Vā(????2n(QD)16) of the group algebra ????2n(QD16), where QD16 is the Quasi-dihedral [D. S. Dummit and R. Foote, Abstract Algebra, 3rd... read more here.
Keywords: group algebra; subgroup group; structure unitary;
On the commutator subgroup of the unit group of a modular group algebra
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DOI: 10.1515/jgth-2024-0209
Abstract: Abstract Let š¹ be a field of odd characteristic and šŗ a group for which the group algebra F ā¢ G FG is modular. In this paper, necessary and sufficient conditions are presented for the… read more here.
Keywords: subgroup unit; group algebra; commutator subgroup; algebra ... See more keywords
Ideals of the Quantum Group Algebra, Arens Regularity and Weakly Compact Multipliers
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DOI: 10.4153/s0008439520000077
Abstract: Abstract Let $\mathbb{G}$ be a locally compact quantum group and let $I$ be a closed ideal of $L^{1}(\mathbb{G})$ with $y|_{I}\neq 0$ for some $y\in \text{sp}(L^{1}(\mathbb{G}))$. In this paper, we give a characterization for compactness of… read more here.
Keywords: quantum group; ideals quantum; group algebra; arens regularity ... See more keywords