Makale detayı · 2004
Fixity and free group actions on products of spheres
- Yıl
- 2004
- Tür
- article
Veri kaynağı ayrımı
- YÖKSİS YÖKSİS makale kaydı
- YÖKSİS dergi adı COMMENTARII MATHEMATICI HELVETICI
- Katalog eşleşmesi (ISSN) Commentarii Mathematici Helvetici
- OpenAlex OpenAlex zenginleştirmesi (özet, atıf, konular)
Özet
OpenAlex · İngilizce
A representation G U (n) of degree n has fixity equal to the smallest integer f such that the induced action of G on U (n)/U (n -f -1) is free. Using bundle theory we show that if G admits a representation of fixity one, then it acts freely and smoothly on S 2n-1 S 4n-5 . We use this to prove that a finite p-group (for p > 3) acts freely and smoothly on a product of two spheres if and only if it does not contain (Z/p) 3 as a subgroup.
Konular
Atıflar
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22 atıf
OpenAlex cited_by_count (önbellek / veritabanı)
Yerel katalogda bu makaleye atıf yapan 11 yayın (OpenAlex referans eşleşmesi; tam dünya listesi değildir).
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- Group actions on spheres with rank one isotropy 2013
- Constructing homologically trivial actions on products of spheres 2013
- FUSION SYSTEMS AND GROUP ACTIONS WITH ABELIAN ISOTROPY SUBGROUPS 2013
- FUSION SYSTEMS AND GROUP ACTIONS WITH ABELIAN ISOTROPY SUBGROUPS 2013
- GROUP ACTIONS ON SPHERES WITH RANK ONE ISOTROPY 2016
- Fusion systems and group actions with abelian isotropy subgroups 2011