Kimmerle conjecture for the Held and O'Nan sporadic simple groups

Details Kimmerle conjecture for the Held and O'Nan sporadic simple groups Kimmerle conjecture for the Held and O'Nan sporadic simple groups

2009-02-13

arxiv.org/abs/0902.2280v1

Mathematics

Rings and Algebras

9 pages

Scientific paper

Using the Luthar--Passi method, we investigate the Zassenhaus and Kimmerle
conjectures for normalized unit groups of integral group rings of the Held and
O'Nan sporadic simple groups. We confirm the Kimmerle conjecture for the Held
simple group and also derive for both groups some extra information relevant to
the classical Zassenhaus conjecture.

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