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Cyclic extensions of prime power degree and corresponding residue systems

✍ Scribed by Leon R McCulloh

Publisher: Elsevier Science
Year: 1969
Tongue: English
Weight: 380 KB
Volume: 1
Category: Article
ISSN: 0022-314X
DOI: 10.1016/0022-314x(69)90006-7

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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