Invariant class sizes and solvability of finite groups under coprime action
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http://dx.doi.org/10.1002/mana.201400363 |
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Title
Invariant class sizes and solvability of finite groups under coprime actionDate
2015Publisher
WileyISSN
0025-584X; 1522-2616Bibliographic citation
BELTRÁN, Antonio; SHAO, Changguo. Invariant class sizes and solvability of finite groups under coprime action. Mathematische Nachrichten, 2015, vol. 289, p. 187–193.Type
info:eu-repo/semantics/articleVersion
info:eu-repo/semantics/publishedVersionSubject
Abstract
Suppose that A and G are finite groups of relatively prime orders such that A acts on G via automorphisms, and then, A acts on the set of conjugacy classes of G. We study several arithmetical properties on the sizes ... [+]
Suppose that A and G are finite groups of relatively prime orders such that A acts on G via automorphisms, and then, A acts on the set of conjugacy classes of G. We study several arithmetical properties on the sizes of certain classes which are left fixed by A and how they reflect on the A-invariant structure and may imply the solvability of G. [-]
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Mathematische Nachrichten, 2015, vol. 289Rights
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- MAT_Articles [761]