Groups with few class sizes and the centraliser equality subgroup.
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Publication:1881749
DOI10.1007/BF02771541zbMath1058.20023MaRDI QIDQ1881749
Publication date: 15 October 2004
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
finite \(p\)-groupsnormal subgroupscentralizersupper central seriesconjugacy class sizescharacteristic subgroupsmetabelian \(p\)-groupsbreadths
Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)
Related Items (9)
THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY ⋮ Central aspects of skew translation quadrangles. I. ⋮ A property of \(p\)-groups of nilpotency class \(p + 1\) related to a theorem of Schur ⋮ CONJUGACY CLASS SIZES IN FINITE GROUPS ⋮ Conjugacy classes of small size in solvable groups ⋮ A new characteristic subgroup of a \(p\)-stable group. ⋮ On a conjecture of A. Mann ⋮ On \(p\)-groups having the minimal number of conjugacy classes of maximal size. ⋮ Elements of minimal breadth in finite p-groups and lie algebras
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