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Sylow Subgroups Which Are Maximal in the Universal Locally Finite Group of Philip Hall

✍ Scribed by Marianna Dalle Molle


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
104 KB
Volume
215
Category
Article
ISSN
0021-8693

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✦ Synopsis


For every prime p, we construct a subgroup of Philip Hall's universal locally finite group which is both maximal and a p-group. This provides an example of a simple locally finite group with a maximal subgroup which is locally nilpotent. ᮊ 1999 Academic Press G theme to a locally finite group G, finding among other things that G is 229