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... p - group P is said to reduce into a local system Σ for G if for every Σ - group U we have that PU is a Sylow p - subgroup of U , and then P is a maximal p ...
... p and g ' = px + y are disjoint , but s = g ' . NOTATION 4.6 . For J Ç I , define Ē , = Njej Ē ; and Ē ... p − 1 p2 p − 1 86 NAUD POTEMANS AND WILLEM VEYS.
... ( p ) pF1 - pinert in K Ep ( w , x ) = 1 – ap ( w ) x - ' ( p ) p ramified in K. p p ... [ p ] ) denotes SUPERSINGULAR RANKIN - SELBERG P - ADIC L - FUNCTIONS 229.
... p-adic unit. Since G.(,) is open and hence closed in G we certainly have w(g") > w(g). Hence w(q) = w((g").' ) > w(g") > w(g). D Lemma 26.4. For any ...
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... p-adic numbers. Let Z denote, as usual, the ring of integers. Define the p-adic absolute value on Z as follows. Let a #0 be an integer. Write a = p^m where ...