Results 41 to 50 of about 721,077 (354)
Zassenhaus conjecture for central extensions of S5 [PDF]
, 2008 We confirm a conjecture of Zassenhaus about rational conjugacy of torsion units in integral group rings for a covering group of the symmetric group S5 and for the general linear group GLð2; 5Þ. The first result, together with others from the literature,
Berman S. D. +12 more
core +3 more sources
Sylow like theorems for V(ZG) [PDF]
International Journal of Group Theory, 2015 The main part of this article is a survey on torsion subgroups of the unit group of an integral group ring. It contains the major parts of my talk given at the conference "Groups, Group Rings and Related Topics" at UAEU in AlAin October 2013.
Wolfgang Kimmerle
doaj
Stably free modules over virtually free groups [PDF]
, 2012 Let $F_m$ be the free group on $m$ generators and let $G$ be a finite nilpotent group of non square-free order; we show that for each $m\ge 2$ the integral group ring ${\bf Z}[G\times F_m]$ has infinitely many stably free modules of rank 1.Comment: 9 ...
F.E.A. Johnson +5 more
core +2 more sources
Torsion units of integral group ring of the simple group $S_4(4)$
, 2015 We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the sympletic simple group S4.4/. As a consequence, we confirm for this group the prime graph conjecture.
A.L. Rosa
semanticscholar +1 more source
Torsion units in integral group ring of Higman-Sims simple group [PDF]
, 2007 Using the Luthar-Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the Higman-Sims simple sporadic group HS. As a consequence, we confirm Kimmerle’s conjecture on prime graphs for
V. Bovdi, A. Konovalov
semanticscholar +1 more source
Torsion Units in Integral Group Rings [PDF]
Proceedings of the American Mathematical Society, 1994 Let G = ⟨ a ⟩ ⋊ X G = \left \langle a \right \rangle \rtimes X where ⟨ a ⟩ \left \langle a \right \rangle is a cyclic group of order n , X n,X is an abelian group of order m
openaire +4 more sources
Unraveling looping efficiency of stochastic Cosserat polymers
Physical Review Research, 2022 Understanding looping probabilities, including the particular case of ring closure or cyclization, of fluctuating polymers (e.g., DNA) is important in many applications in molecular biology and chemistry.
Giulio Corazza, Raushan Singh
doaj +1 more source
Multiplication in Grothendieck rings of integral group rings [PDF]
Bulletin of the American Mathematical Society, 1967 Made available in DSpace on 2014-12-09T22:17:33Z (GMT). No. of bitstreams: 1 6612431.pdf: 2028922 bytes, checksum: 195226a98ae570af26c664bab83e5930 (MD5) Previous issue date: 1966 ; Embargo set by: Seth Robbins for item 61739 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs ; Restricted to ...
openaire +2 more sources
Gauss Units in Integral Group Rings
Journal of Algebra, 1998 In a number of papers the generation of the unit group \(U(RG)\) of an integral group ring \(RG\) of a finite group \(G\) over some ring \(R\) of algebraic integers has been studied, and often a finite set of explicit units could be given that generates \(U(RG)\) up to a finite index. In this paper \(R\) is the ring of integers in \(\mathbb{Q}(\sqrt{-p}
Neiße, Olaf, Sehgal, Sudarshan K.
openaire +3 more sources
Discussiones Mathematicae - General Algebra and Applications, 2019 In this paper, we introduce the notion of a Г-field as a generalization of field, study them properties of a Г -field and prove that M is a Г-field if and only if M is an integral, simple and commutative Г-ring.
Rao Marapureddy Murali Krishna
doaj +1 more source