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On π-Separable Groups

✍ Scribed by Yakov Berkovich

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
173 KB
Volume
186
Category
Article
ISSN
0021-8693

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✦ Synopsis

We generalize Lemmas 7.3᎐7.7 from the Odd Order paper. Those lemmas we extend from p-solvable groups to -separable groups, where is an arbitrary set Ä 4 of primes. Note that even in the case s p some of our results present proper Ž generalizations. In some proofs we use the solvability of groups of odd order in the < < . case -3 our results do not depend on the solvability of groups of odd order .

Ž . We give also very short and, sometimes, new proofs of some related known results, for example, Thompson's A =

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