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
โฆ LIBER โฆ
Irreducible abelian p-groups which are near direct sums of cyclic groups
โ Scribed by S. V. Rychkov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1988
- Tongue
- English
- Weight
- 309 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
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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
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