On Finite Groups with an Abelian Sylow Group
1962 ◽
Vol 14
◽
pp. 436-450
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We shall consider finite groups of order of g which satisfy the following condition:(*) There exists a prime p dividing g such that if P ≠ 1 is an element of p-Sylow group ofthen the centralizer(P) of P incoincides with the centralizer() of in.This assumption is satisfied for a number of important classes of groups. It also plays a role in discussing finite collineation groups in a given number of dimensions.Of course (*) implies that is abelian. It is possible to obtain rather detailed information about the irreducible characters of groups in this class (§ 4).
1974 ◽
Vol 25
(1-2)
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pp. 223-226
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1989 ◽
Vol 41
(1)
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pp. 68-82
◽
2008 ◽
Vol 320
(5)
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pp. 2181-2195
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