Details
Original language | English |
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Pages (from-to) | 305-314 |
Number of pages | 10 |
Journal | Bulletin of the London Mathematical Society |
Volume | 46 |
Issue number | 2 |
Publication status | Published - Apr 2014 |
Externally published | Yes |
Abstract
We prove that a finite group in which any two nontrivial p-elements are conjugate have Sylow p-subgroups which are either elementary abelian or extra-special of order p3 and exponent p.
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In: Bulletin of the London Mathematical Society, Vol. 46, No. 2, 04.2014, p. 305-314.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Finite groups with two conjugacy classes of p-elements and related questions for p-blocks
AU - Külshammer, Burkhard
AU - Sambale, Benjamin
AU - Navarro, Gabriel
AU - Tiep, Pham Huu
N1 - Funding Information: The research of the second author was supported by the Prometeo/Generalitat Valenciana, Proyectos MTM2010-15296. The third author gratefully acknowledges support through a grant by the Carl Zeiss Foundation. The fourth author gratefully acknowledges the support of the NSF (grants DMS-0901241 and DMS-1201374).
PY - 2014/4
Y1 - 2014/4
N2 - We prove that a finite group in which any two nontrivial p-elements are conjugate have Sylow p-subgroups which are either elementary abelian or extra-special of order p3 and exponent p.
AB - We prove that a finite group in which any two nontrivial p-elements are conjugate have Sylow p-subgroups which are either elementary abelian or extra-special of order p3 and exponent p.
UR - http://www.scopus.com/inward/record.url?scp=84897002156&partnerID=8YFLogxK
U2 - 10.1112/blms/bdt099
DO - 10.1112/blms/bdt099
M3 - Article
AN - SCOPUS:84897002156
VL - 46
SP - 305
EP - 314
JO - Bulletin of the London Mathematical Society
JF - Bulletin of the London Mathematical Society
SN - 0024-6093
IS - 2
ER -