6533b85efe1ef96bd12c0853

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2-Groups with few rational conjugacy classes

Josu SangronizJoan Tent

subject

Conjugacy classesDiscrete mathematicsMathematics::Group TheoryPure mathematicsConjectureConjugacy classAlgebra and Number TheoryDihedral angleQuaternion2-GroupsMathematics

description

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.

yearjournalcountryeditionlanguage
2011-07-01Journal of Algebra
10.1016/j.jalgebra.2011.01.023http://dx.doi.org/10.1016/j.jalgebra.2011.01.023