$(p,q,r)$-GENERATIONS OF THE SPORADIC GROUP $HN$

AUTOMORPHISM GROUP OF GROUPS OF ORDER pqr

H"{o}lder in 1893 characterized all groups of order $pqr$ where  $p>q>r$ are prime numbers. In this paper,  by using new presentations of these groups, we compute their full automorphism group.

(2, 3, t)-Generations for the Suzuki’s Sporadic Simple Group Suz

A group G is called (2, 3, t)-generated if it can be generated by an element x of order 2 and an element y of order 3 such that the product xy has order t. In the present article we determine all the (2, 3, t)generations for the Suzuki’s sporadic simple group Suz, where t is an odd divisor of |Suz|. This extends the earlier results of Mehrabadi, Ashrafi and Iranmanesh [9]. Mathematics Subject C...

Integral Group Ring of the Suzuki Sporadic Simple Group

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.

Building PQR Trees

Building PQR Trees in Almost - Linear TimeGuilherme