## 14 Papers on Groups and Semigroups |

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### Contents

Kostrikin A I The Burnside problem KoCTpHKHH A 14 0 npo6jieMe | 99 |

supplementary series HaHMapK M A Pa3JlOKeHne TeH30pH0r0 | 137 |

A The decomposition of unitary representations of a locally | 231 |

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arbitrary automorphism basic series binary relations called closure operation coincides commutative complete lattice conjugate consequently consider contains a complete continuous positive definite converges Corollary corresponding decomposition defined denote diagonally semi-invariant domain equation equivalence relation exists factor factor-group factor-representation finite group follows formula Fourier transform function f fundamentally representable fundamentally representable relations G by means generalised group generalised heap Hall 0-bases Hence Hilbert space idempotent idempotent semigroup identity imprimitivity infinite integral intersection irreducible representations isometry Lemma Lie ring linear locally finite group locally normal group mapping measurable functions modp normal divisor obtain partial transformations polynomial positive definite function prime numbers Proof proved relation of quasi-order representation g representative homomorphism respect right translations Russian satisfies the condition scalar product semi-invariant subset semigroup G solvable solvable group subgroup Sylow p-subgroup T-system tensor product Theorem tion unitary representation vector-function zero