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Properties of the Subgroups of an Abelian Prime Power Group which are Conjugate Under Its Group of Isomorphisms

โœ Scribed by G. A. Miller


Book ID
123784697
Publisher
American Mathematical Society
Year
1920
Tongue
English
Weight
769 KB
Volume
21
Category
Article
ISSN
0002-9947

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Prime power groups which are cyclic exte
โœ Gerhard Pazderski ๐Ÿ“‚ Article ๐Ÿ“… 1980 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 562 KB

lGl=p", where n=n,+n,+. , . + n r 2 ) like 1) with apnn=b,, instead of apnn=l. Proof. Let G be a group of order p" with an elementary abelian normal subgroup B for which GIB is cyclic of order p"". Further let aB be a generating element of GIB. Then upnn B. The group (a) suffers from B a representat