Fixed point free action on groups of odd order

Ercan G., GÜLOĞLU İ. Ş.

JOURNAL OF ALGEBRA, cilt.320, sa.1, ss.426-436, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 320 Sayı: 1
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.jalgebra.2008.01.033
  • Dergi Adı: JOURNAL OF ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.426-436
  • Anahtar Kelimeler: solvable groups, fixed point free action, finite groups, representations, FINITE-GROUPS
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Let A be a finite abelian group that acts fixed point freely on a finite (solvable) group G. Assume that vertical bar G vertical bar is odd and A is of squarefree exponent coprime to 6. We show that the Fitting length of G is bounded by the length of the longest chain of subgroups of A. (C) 2008 Elsevier Inc. All rights reserved.