#### Filter Results:

- Full text PDF available (22)

#### Publication Year

2004

2011

- This year (0)
- Last 5 years (0)
- Last 10 years (16)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- V. A. Bovdi, Eric Jespers, Alexander Konovalov
- Math. Comput.
- 2011

Using the Luthar-Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of integral group rings of Janko simple groups. As a consequence, for the Janko groups J1, J2 and J3 we confirm Kimmerle’s conjecture on prime graphs.

We investigated the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the simple Mathieu group M11. As a consequence, for this group we confirm the conjecture by Kimmerle about prime graphs. Introduction and main results Let V (ZG) be the normalized unit group of the integral group ring ZG of a finite group G. The… (More)

- V. A. Bovdi, J . B . SRIVASTAVA
- 2006

Let K be a field of positive characteristic p and KG the group algebra of a group G. It is known that if KG is Lie nilpotent then its upper (or lower) Lie nilpotency index is at most |G| + 1, where |G| is the order of the commutator subgroup. The class of groups G for which these indices are maximal or almost maximal have already been determined. Here we… (More)

We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the Mathieu sporadic group M24. As a consequence, for this group we confirm Kimmerle’s conjecture on prime graphs.

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… (More)

- V. A. Bovdi
- 2007

We investigate the possible character values of torsion units of the normalized unit group of the integral group ring of Mathieu sporadic group<lb>M22. We confirm the Kimmerle conjecture on prime graphs for this group and<lb>specify the partial augmentations for possible counterexamples to the stronger Zassenhaus conjecture.

- V. A. Bovdi
- 2008

Let V (ZG) be the normalized unit group of the integral group ring ZG of a finite group G. One of most interesting conjectures in the theory of integral group ring is the conjecture (ZC) of H. Zassenhaus [25], saying that every torsion unit u ∈ V (ZG) is conjugate to an element in G within the rational group algebra QG. For finite simple groups, the main… (More)

We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the McLaughlin sporadic group McL. As a consequence, we confirm for this group the Kimmerle’s conjecture on prime graphs.

Using the Luthar–Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the Rudvalis sporadic simple group Ru. As a consequence, for this group we confirm Kimmerle’s conjecture on prime graphs.

- V. A. Bovdi, Anton Konovalov, E . N . MARCOS
- 2008

Using the Luthar–Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the Suzuki sporadic simple group Suz. As a consequence, for this group we confirm the Kimmerle’s conjecture on prime graphs.