Abstract
As in Section 5, G is a finite group, N a normal subgroup of G and A a N-interior G-algebra. Note that whenever A is not inductively complete, it follows from Theorem 5.11 that we can find an inductively complete N-interior G-algebra B, together with a divisor w of G on B such that A ≈ B w , so that all the questions concerning induction and restriction of divisors can be discussed in B. Hence, without loss of generality we may assume that A is inductively complete.
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© 2002 Springer-Verlag Berlin Heidelberg
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Puig, L. (2002). Local Pointed Groups on N-interior G-algebras. In: Blocks of Finite Groups. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11256-4_6
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DOI: https://doi.org/10.1007/978-3-662-11256-4_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07802-6
Online ISBN: 978-3-662-11256-4
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