Search results for "2-groups"

showing 2 items of 2 documents

2-Groups with few rational conjugacy classes

2011

Abstract In this paper we prove the following conjecture of G. Navarro: if G is a finite 2-group with exactly 5 rational conjugacy classes, then G is dihedral, semidihedral or generalized quaternion. We also characterize the 2-groups with 4 rational classes.

Conjugacy classesDiscrete mathematicsMathematics::Group TheoryPure mathematicsConjectureConjugacy classAlgebra and Number TheoryDihedral angleQuaternion2-GroupsMathematicsJournal of Algebra
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On Pseudofunctors Sending Groups to 2-Groups

2023

For a category B with finite products, we first characterize pseudofunctors from B to Cat whose corresponding opfibration is cartesian monoidal. Among those, we then characterize the ones which extend to pseudofunctors from internal groups to 2-groups. If B is additive, this is the case precisely when the corresponding opfibration has groupoidal fibres.

Settore MAT/02 - AlgebraGeneral MathematicsMathematics::Category TheoryFOS: Mathematicsinternal groupsMathematics - Category TheoryCategory Theory (math.CT)2-groupsPseudofunctorSettore MAT/04 - Matematiche Complementari2-groups; internal groups; monoidal opfibration; Pseudofunctor18A40 18C40 18D30 18G45 18M05monoidal opfibration
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