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On the number of {Q, I}-closed classes of abelian p-groups

โœ Scribed by Joseph Buckley; James Wiegold


Book ID
112760249
Publisher
Springer
Year
1981
Tongue
English
Weight
106 KB
Volume
12
Category
Article
ISSN
0002-5240

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On the Parity of the Class Number of the
โœ Michal Bulant ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 406 KB

If ( pร‚q)=( pร‚r)=(qร‚r)=&1, fix u pq , u pr , u qr # Z satisfying u 2 pq #pq (mod r), u 2 pr #pr (mod q), u 2 qr #qr (mod p). Then h is even if and only if (u pq ร‚r)(u pr ร‚q)(u qr ร‚p)=&1. 2. If ( pร‚q)=1, ( pร‚r)=(qร‚r)=&1, then the parity of h is the same as the parity of the class number of the biqua