Implications of conjugacy class size
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Publication:4209844
DOI10.1515/jgth.1998.017zbMath0916.20015OpenAlexW1990393021MaRDI QIDQ4209844
Alan R. Camina, Rachel D. Camina
Publication date: 18 November 1998
Published in: Journal of Group Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jgth.1998.017
Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60)
Related Items (35)
A note on elements of prime power index in finite groups. ⋮ On conjugacy class sizes of \(\pi\)-elements of primary orders in finite groups. ⋮ ITÔ’S THEOREM ON GROUPS WITH TWO CLASS SIZES REVISITED ⋮ Variations on a theorem by Alan Camina on conjugacy class sizes. ⋮ Coprime action and arithmetical conditions on invariant conjugacy classes. ⋮ On the conjugate type vector and the structure of a normal subgroup ⋮ Prime powers as conjugacy class lengths of π-elements ⋮ Structure of \(p\)-complements in groups with three \(p\)-regular class sizes. ⋮ Structure of finite groups with four conjugacy class sizes of certain elements ⋮ On the normal subgroup with coprime \(G\)-conjugacy class sizes ⋮ Lengths of conjugacy classes of π-elements and primary elements in finite groups ⋮ Groups whose vanishing class sizes are p-powers ⋮ Unnamed Item ⋮ Prime power indices in factorised groups ⋮ Unnamed Item ⋮ CONJUGACY CLASS SIZES OF CERTAIN DIRECT PRODUCTS ⋮ Zeros of irreducible characters in factorised groups ⋮ ON CONJUGACY CLASS SIZES AND CHARACTER DEGREES OF FINITE GROUPS ⋮ The influence of conjugacy class sizes on the structure of finite groups ⋮ A note on conjugacy class sizes of finite groups. ⋮ Notes on the length of conjugacy classes of finite groups. ⋮ Indices of elements and normal structure of finite groups. ⋮ On elements of prime-power index in finite groups. ⋮ Recognising nilpotent groups. ⋮ One-prime power hypothesis for conjugacy class sizes ⋮ Cycles and bipartite graphs on conjugacy class of groups ⋮ On finite groups with square-free conjugacy class sizes ⋮ On Lengths of Conjugacy Classes and Character Degrees in Finite Groups ⋮ Finite groups with exactly one composite conjugacy class size ⋮ On the lattice of subracks of the rack of a finite group ⋮ The structure of finite groups with three class sizes ⋮ Factorizations of groups and related topics. ⋮ On the normal subgroup with exactly two \(G\)-conjugacy class sizes. ⋮ Recognizing direct products from their conjugate type vectors ⋮ Finite groups with elements of prime power index
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