On theorems of Brauer-Nesbitt and Brandt for characterizations of small block algebras |
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Authors: | Koshitani Shigeo Sakurai Taro |
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Institution: | M. Yasir Kızmaz |
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Abstract: | Let A be a finite group acting on a finite group G via automorphisms. Assume that
$$(|A|,|G|)=1$$
. We prove that if
$$C_G(A)$$
is a Hall
$$\pi $$
-subgroup of G, then G has a normal
$$\pi $$
-complement. |
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Keywords: | |
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