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Groups Whose Prime Powers Generate a Cyclic Sub-Group

✍ Scribed by G. A. Miller

Book ID: 123667968
Publisher: National Academy of Sciences
Year: 1936
Tongue: English
Weight: 181 KB
Volume: 22
Category: Article
ISSN: 0027-8424
DOI: 10.2307/86607

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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