Finite varieties and groups with Sylow p-subgroups of low class
1981 ◽
Vol 31
(4)
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pp. 464-469
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AbstractA finite variety is a class of finite groups closed under taking subgroups, factor groups and finite direct products. To each such class there exists a sequence w1, w2,… of words such that the finite group G belongs to the class if and only if wk(G) = 1 for almost all k. As an illustration of the theory we shall present sequences of words for the finite variety of groups whose Sylow p-subgroups have class c for c = 1 and c = 2.
1972 ◽
Vol 6
(3)
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pp. 357-378
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1999 ◽
Vol 60
(2)
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pp. 177-189
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1955 ◽
Vol 51
(1)
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pp. 25-36
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Keyword(s):
2009 ◽
Vol 79
(1)
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pp. 23-30
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1997 ◽
Vol 6
(1)
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pp. 49-56
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Keyword(s):
2001 ◽
Vol 53
(2)
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pp. 429-456
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Keyword(s):
1969 ◽
Vol 10
(3-4)
◽
pp. 359-362
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