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Some numerical results on groups

✍ Scribed by H. S. Finkelstein

Publisher: Akadmiai Kiad
Year: 1975
Tongue: English
Weight: 294 KB
Volume: 26
Category: Article
ISSN: 1588-2632
DOI: 10.1007/bf01895952

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## Abstract This Note announces two results on the genus of a group. First, there is exactly one group of genus two, thus answering a question of V. K. Proulx. Second, the genus of the full symmetric group of degree __n__ is __n__!/168 + 1, for all __n__ > 167.