Abstract
If G is a finite real group and P∈Syl2(G), then P/P' is elementary abelian. This confirms a conjecture of Roderick Gow. In fact, we prove a much stronger result that implies Gow's conjecture.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 331-360 |
| Number of pages | 30 |
| Journal | Advances in Mathematics |
| Volume | 299 |
| DOIs | |
| State | Published - Aug 20 2016 |
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Keywords
- Real characters
- Real groups
- Sylow 2-subgroups
ASJC Scopus subject areas
- Mathematics(all)
Cite this
Real groups and Sylow 2-subgroups. / Navarro, Gabriel; Tiep, Pham Huu.
In: Advances in Mathematics, Vol. 299, 20.08.2016, p. 331-360.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Real groups and Sylow 2-subgroups
AU - Navarro, Gabriel
AU - Tiep, Pham Huu
PY - 2016/8/20
Y1 - 2016/8/20
N2 - If G is a finite real group and P∈Syl2(G), then P/P' is elementary abelian. This confirms a conjecture of Roderick Gow. In fact, we prove a much stronger result that implies Gow's conjecture.
AB - If G is a finite real group and P∈Syl2(G), then P/P' is elementary abelian. This confirms a conjecture of Roderick Gow. In fact, we prove a much stronger result that implies Gow's conjecture.
KW - Real characters
KW - Real groups
KW - Sylow 2-subgroups
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UR - http://www.scopus.com/inward/citedby.url?scp=84969833617&partnerID=8YFLogxK
U2 - 10.1016/j.aim.2016.05.013
DO - 10.1016/j.aim.2016.05.013
M3 - Article
VL - 299
SP - 331
EP - 360
JO - Advances in Mathematics
JF - Advances in Mathematics
SN - 0001-8708
ER -