Groups of p-rank 2 containing an isolated element of order p
Let p be an odd prime and G be a finite group with O p ′ ( G ) = 1 of p -rank at most 2 that contains an isolated element of order p . If x ∉ Z ( G ) , we show that F ∗ ( G ) is simple and we describe the structure of a Sylow p -subgroup P of F ∗ ( G ) as well as the fusion system F P ( F ∗ ( G ) )...
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Published in | Archiv der Mathematik Vol. 118; no. 4; pp. 349 - 359 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Cham
Springer International Publishing
2022
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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