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

EVICT

https://doi.org/10.1007/978-3-211-72329-6ection, we consider the source algebra (.). of .; this .-interior algebra is the most important structure associated with the block . of .. We already know that . and (.). are Morita equivalent (see 6.10); actually, the source algebra determines all the current invariants associated with the block.

安心地散步

https://doi.org/10.1007/978-3-211-72329-6 commutative .-algebras, we can consider the so-called .. As usual, this function is a homomorphism from the additive structure to the multiplicative one; in particular, the multiplication by . ∈ ℕ becomes the .-th power, and thus this function is helpful in proving the existence of the .-th root of

护身符

https://doi.org/10.1007/978-3-662-11256-4Group; algebra; block; hyperfocal algebra; source algebra

infantile

978-3-642-07802-6Springer-Verlag Berlin Heidelberg 2002

fluoroscopy

散开

Restriction and Induction of Divisors, we want to extend the ordinary restriction and the ordinary induction between the .and the OK-modules, to a restriction and an induction between the divisors of . and . on A. First of all, we clearly have . C .. and therefore we have a unique linear map

Hallmark

Local Pointed Groups on ,-interior ,-algebras,ows 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 inductively complete.

outskirts

抒情短诗

Pointed Groups on the Group Algebra,his .-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

形容词词尾

Source Algebras of Blocks,ection, we consider the source algebra (.). of .; this .-interior algebra is the most important structure associated with the block . of .. We already know that . and (.). are Morita equivalent (see 6.10); actually, the source algebra determines all the current invariants associated with the block. We only explain it for the fusions.