On finite nonsolvable groups whose cyclic p-subgroups of equal order are conjugate
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Date
2022
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Tubitak Scientific & Technological Research Council Turkey
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Abstract
The structure of the nonsolvable (P)-groups is completely described in this article. By definition, a finite group G is called a (P)-group if any two cyclic p-subgroups of the same order are conjugate in G, whenever p is a prime number dividing the order of G.
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Keywords
Conjugacy classes, (generalized) Fitting subgroups, Frattini subgroups, p-subgroups, sporadic simple groups, groups of Lie type, alternating and symmetric groups, Schur multiplier, Hering's theorem, automorphism groups, (semi-)direct product of groups
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0
WoS Q
Q2
Scopus Q
Q2
Source
Volume
46
Issue
7
Start Page
2766
End Page
2805