On the characters of binary modulary congruence groups.
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On the characters of binary modulary congruence groups. by Johannes Van der Mark

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Published in Leiden .
Written in English

Subjects:

• Congruences and residues

Book details:

Edition Notes

Classifications The Physical Object Other titles The characters of binary modulary congruence groups. LC Classifications QA242 .V3 Pagination 54, [1] p. Number of Pages 54 Open Library OL6260376M LC Control Number 58042107 OCLC/WorldCa 23615529

The higher commutator is a higher arity generalization of the binary commutator, which was first defined in full generality in the seventies. While the binary commutator has a rich theory for congruence modular varieties, the theory of the higher arity commutator was poorly understood outside of the context of congruence permutability. H. D. Kloosterman, The behaviour of general theta functions under the modular group and the characters of binary modular congruence groups. I, Ann. of .   The modular group is a discrete group of transformations of the complex upper half-plane $H = \{ {z = x + iy }: {y > 0 } \}$(sometimes called the Lobachevskii plane or Poincaré upper half-plane) and has a presentation with generators $T: z \rightarrow z + 1$ and $S: z \rightarrow - 1 / z$, and relations \$ S ^ {2} = (ST) ^ {3} = 1. [Klos] H. D. Kloosterman, "The behaviour of general theta functions under the modular group and the characters of binary modular congruence groups. I," Ann. .