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... (|P|) = Σ{j k | 0 ≤ k ≤ b} ≤ p((b-2)4+2(b-2)3+(b-2)2)/4-((b-2)2+b-2)/2-90 (|P|-1)/(p-1) +25. D + b) We may assume that the group P operates faithfully on ...
... ( p - 1 ) ps for some s < r . In fact , since G acts uniserially on 12pr - 1 ( G ) , it turns out that G is settled of ... p - groups and pro - p Groups 61.
... p - adic modular functions is the ideal context for studying congruences between modular forms of different weights , and also for considering universal ...
... P + 2 We may now follow the proof of Theorem 1 until the statement " if B ... p and of degree ap in G applies to any intransitive group generated by ...
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... p . 509 . 81Ibid . , p . 510 . 88Ibid . , Vol . VII , p . 59 . Ibid . , p . 61 . 90Ibid . , p . 136 ; Turner , Rise of the New West , p . 312 . and ...