Zassenhaus conjecture for central extensions of S 5
نویسندگان
چکیده
منابع مشابه
Zassenhaus Conjecture for A6
For the alternating group A6 of degree 6, Zassenhaus’ conjecture about rational conjugacy of torsion units in integral group rings is confirmed.
متن کاملZassenhaus Conjecture for cyclic-by-abelian groups
Zassenhaus Conjecture for torsion units states that every augmentation one torsion unit of the integral group ring of a finite group G is conjugate to an element of G in the units of the rational group algebra QG. This conjecture has been proved for nilpotent groups, metacyclic groups and some other families of groups. It has been also proved for some special groups. We prove the conjecture for...
متن کاملAnother Counterexample to a Conjecture of Zassenhaus
A metabelian group G of order 1440 is constructed which provides a counterexample to a conjecture of Zassenhaus on automorphisms of integral group rings. The group is constructed in the spirit of [8]. An augmented automorphism of ZG which has no Zassenhaus factorization is given explicitly (this was already done in [7] for a group of order 6720), but this time only a few distinguished group rin...
متن کاملOn the first Zassenhaus conjecture for integral group rings
It was conjectured by H. Zassenhaus that a torsion unit of an integral group ring of a finite group is conjugate to a group element within the rational group algebra. The object of this note is the computational aspect of a method developed by I. S. Luthar and I. B. S. Passi which sometimes permits an answer to this conjecture. We illustrate the method on certain explicit examples. We prove wit...
متن کاملCentral S–Extensions of Some Fundamental Groupoid
Central S-extensions of the fundamental groupoid of a connected symplectic manifold with an Abelian fundamental group, satisfying some conditon on the universal covering space are computed.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Group Theory
سال: 2008
ISSN: 1433-5883,1435-4446
DOI: 10.1515/jgt.2008.004