Finitely Presented Groups : With Applications in Post-Quantum Cryptography and Artificial Intelligence - - Libros - De Gruyter - 9783111473376 - 7 de octubre de 2024
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Finitely Presented Groups : With Applications in Post-Quantum Cryptography and Artificial Intelligence

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This book contains surveys and research articles on the state-of-the-art in finitely presented groups for researchers and graduate students. Overviews of current trends in exponential groups and of the classification of finite triangle groups and finite generalized tetrahedron groups are complemented by new results on a conjecture of Rosenberger and an approximation theorem. A special emphasis is on algorithmic techniques and their complexity, both for finitely generated groups and for finite Z-algebras, including explicit computer calculations highlighting important classical methods.

A further chapter surveys connections to mathematical logic, in particular to universal theories of various classes of groups, and contains new results on countable elementary free groups. Applications to cryptography include overviews of techniques based on representations of p-groups and of non-commutative group actions. Further applications of finitely generated groups to topology and artificial intelligence complete the volume.

All in all, leading experts provide up-to-date overviews and current trends in combinatorial group theory and its connections to cryptography and other areas.

Medios de comunicación Libros     Hardcover Book   (Libro con lomo y cubierta duros)
Publicado 7 de octubre de 2024
ISBN13 9783111473376
Editores De Gruyter
Páginas 252
Dimensiones 150 × 220 × 20 mm   ·   554 g

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