The argument of a zeta function is a complex number. We can interpret a complex number as the subgroup of a quaternion. Therefore, we can expand the argument of a zeta function to a quaternion. On the other hand, a complex number is one-dimensional complex general linear group. And the sporadic finite simple groups are high dimensional complex general linear groups. Therefore, we can expand the...

Transient neonatal diabetes (TND) is a rare type of diabetes that presents soon after birth, resolves by 18 months, and predisposes to diabetes later in life. A total of 30 patients were ascertained and investigated for aberrations of chromosome 6. A genotype/phenotype study was also performed. Genotypically, these patients can be classified into 4 etiologic groups. Group 1 had paternal unipare...

BACKGROUND Gastric polyps, such as adenomas and hyperplastic polyps, can be found in various colonic polyposis syndromes. Unlike in sporadic gastric adenomas, in which the increased risk of colorectal neoplasia has been well characterized, information in sporadic gastric hyperplastic polyps was limited. AIM To evaluate the association of sporadic gastric hyperplastic polyps with synchronous c...

In this paper we prove that there cannot be a biplane admitting a primitive, flagtransitive automorphism group of almost simple type, with alternating or sporadic socle.

We complete the classification of the multiplicity-free permutation actions of nearly simple groups that involve a sporadic simple group, which had been started in [BL96] and [LM].

We study the homotopy relation between the standard 2-local geometry ∆ and the Bouc complex for the sporadic finite simple group McL.

We investigate the possible character values of torsion units of the normalized unit group of the integral group ring of Mathieu sporadic groupM22. We confirm the Kimmerle conjecture on prime graphs for this group andspecify the partial augmentations for possible counterexamples to the stronger Zassenhaus conjecture.

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.

In the early 80-ties it became clear that the classification of the non-abelian finite simple groups was complete. Among the finite simple groups we find several families: the alternating groups and various families of groups of Lietype and their twisted analogues. Besides these families there exist 26 sporadic finite simple groups. In these notes we consider five sporadic simple groups, the Ma...