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Irreducible abelian p-groups which are near direct sums of cyclic groups

โœ Scribed by S. V. Rychkov


Publisher
SP MAIK Nauka/Interperiodica
Year
1988
Tongue
English
Weight
309 KB
Volume
43
Category
Article
ISSN
0001-4346

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๐Ÿ“œ SIMILAR VOLUMES


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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

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In this paper it is shown that every connected Cayley graph of a semt-direct product of a cyclic group of prime order by an abelian group is hamiltonian. In particular, every connected Cayley graph of a group G is hamiltonian provided that G is of order greater than 2 and it contains a normal cyclic