We construct and study a new near octagon of order (2, 10) which has its full automorphism group isomorphic to the group G2(4) : 2 and which contains 416 copies of the Hall-Janko near octagon as full subgeometries. Using this near octagon and its substructures we give geometric constructions of the G2(4)-graph and the Suzuki graph, both of which are strongly regular graphs contained in the Suzu...

Hypothesis (A): G is a doubly transitive permutation group on a set Q. For 01 E Q, G, has a set Z = {B, , B, ,..., B,}, t > 2, which is a complete set of imprimitivity blocks on Q {a}. Let j Bi / = b > 1 for all i. Denote by H the kernel of G, on .Z and by Ki and K< the subgroups of G, fixing Bi setwise and pointwise respectively, 1 .< i < t. Let /3 E Bl . Here j Q j = 1 + ht. M. D. Atkinson ha...

A synthetic method for multifunctionalized oligoarenes using rapid Suzuki-Miyaura coupling of pinacol esters of hydroxyphenylboronic acids and subsequent triflation of the hydroxy group was developed.

A new type of public key cryptosystem, called MST3, has been recently developed on the basis of logarithmic signatures and covers of finite groups. The Suzuki 2-groups have been suggested for a possible realization of the generic version of MST3. On one hand, due to their structure, the Suzuki 2-groups allow one to study the security complexity of the system, on the other hand they possess a si...

In the paper we prove (modulo classification of finite simple groups) an analogue famous Baer-Suzuki theorem for π-radical a group, where π is set primes.

We study global aspects of N = 2 Kazama-Suzuki coset models by investigating topological G/H Kazama-Suzuki models in a Lagrangian framework based on gauged Wess-Zumino-Witten models. To that end, we first generalize Witten’s analysis of the holomorphic factorization of bosonic G/H models to models with N = 1 and N = 2 supersymmetry, in the course of which we also find some new anomaly-free and ...

We show that the least genus of any compact Riemann surface S, admitting a simple Suzuki group G = Sz(^) as a group of automorphisms, is equal to 1 +|G|/40. We compute the number of such surfaces S as the number of normal subgroups of the triangle group A(2,4,5) with quotient-group G, and investigate the associated regular maps of type {4,5}.

In this paper, we construct a group with three real irreducible characters whose Sylow 2-subgroup is an iterated central extension of a Suzuki 2-group. This answers a question raised by Moretó and Navarro who asked whether such a group exists. MSC primary: 20C15