In the paper mentioned in the title [{\it C. Franchi, M. Mainardis} and {\it R. Solomon}, J. Group Theory 11, No. 3, 357-369 (2008; Zbl 1151.20014)] the Harada-Norton sporadic simple group was characterized as a group of bicharacteristic $\{2,5\}$. In this note we extend that result to bicharacteristic $\{2,p\}$ for any prime $p$ greater than $3$. Our result follows from the fact that, for such primes, a $p$-local configuration of the type found in the Harada-Norton group for $p=5$ can appear in a finite group only when $p$ is equal to $3$ or $5$.
A CHARACTERIZATION OF HN: ADDENDUM
MAINARDIS, Mario;
2010-01-01
Abstract
In the paper mentioned in the title [{\it C. Franchi, M. Mainardis} and {\it R. Solomon}, J. Group Theory 11, No. 3, 357-369 (2008; Zbl 1151.20014)] the Harada-Norton sporadic simple group was characterized as a group of bicharacteristic $\{2,5\}$. In this note we extend that result to bicharacteristic $\{2,p\}$ for any prime $p$ greater than $3$. Our result follows from the fact that, for such primes, a $p$-local configuration of the type found in the Harada-Norton group for $p=5$ can appear in a finite group only when $p$ is equal to $3$ or $5$.File in questo prodotto:
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