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Titlebook: Blocks of Finite Groups; The Hyperfocal Subal Lluís Puig Book 2002 Springer-Verlag Berlin Heidelberg 2002 Group.algebra.block.hyperfocal al

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Uniqueness of the Hyperfocal Subalgebra,In this section, we assume that the quotient field . of . has characteristic zero. As in section 12, . is a finite group and . a block of .; choose a maximal local pointed group .. on . and . ∈ γ , and set
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Embracing Ubuntu in Community Partnershipsows from Theorem 5.11 that we can find an inductively complete .-interior G-algebra ., together with a divisor w of . on . such that . ≈ .., so that all the questions concerning induction and restriction of divisors can be discussed in .. Hence, without loss of generality we may assume that . is ind
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Embracing Ubuntu in Community Partnerships . is algebraically closed; as explained in 6.1 above, we may assume that . is inductively complete. In this particular situation we will see that the point of any pointed group .. is determined by the defect pointed group of ... Whenever . = End.(.), where M is an .-module, this fact is just the so
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Clusters, Cosmology and Mergers,t is already clear that . acts on the set of all the pointed groups on .; furthermore, if .. is a pointed group on . then any . E . naturally determines a group homomorphism ..: .. such that .. (.) = .. for any . E ..
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https://doi.org/10.1007/978-3-211-72329-6his .-interior algebra. Note that . is a symmetric .-algebra; more precisely, denote by ..: . → . the .-module homomorphism fulfilling ..(.) = ..,. for any . ∈ .; for any idempotents .′ of ., we have an .-module homomorphism
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