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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 305-314 |
| Number of pages | 10 |
| Journal | Bulletin of the London Mathematical Society |
| Volume | 46 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2014 |
Fingerprint
ASJC Scopus subject areas
- Mathematics(all)
Cite this
Finite groups with two conjugacy classes of p-elements and related questions for p-blocks. / Külshammer, Burkhard; Sambale, Benjamin; Navarro, Gabriel; Tiep, Pham Huu.
In: Bulletin of the London Mathematical Society, Vol. 46, No. 2, 2014, p. 305-314.Research output: Contribution to journal › Article
}
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
PY - 2014
Y1 - 2014
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
UR - http://www.scopus.com/inward/citedby.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 -