Philosophical MagazineTaylor & Francis., 1898 - Physics |
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Page 234
... Simple Isomorphisms of a Substitution - Group to itself . By G. A. MILLER , Ph.D. * Mos OST of the difficulties connected with the study of groups reside either in the simple groups or in the general problem of isomorphisms . One of the ...
... Simple Isomorphisms of a Substitution - Group to itself . By G. A. MILLER , Ph.D. * Mos OST of the difficulties connected with the study of groups reside either in the simple groups or in the general problem of isomorphisms . One of the ...
Page 236
... simple isomorphisms of G to itself are said to be contragredient . Two simple iso- morphisms of G to itself which cannot be transformed into each other may be called distinct . Hence , the number of distinct isomorphisms of G is equal ...
... simple isomorphisms of G to itself are said to be contragredient . Two simple iso- morphisms of G to itself which cannot be transformed into each other may be called distinct . Hence , the number of distinct isomorphisms of G is equal ...
Page 239
... simple isomorphisms of R to itself can be obtained by transforming the identical isomorphism , we need to transform only one of the two constituent groups in any one such isomorphism in order to obtain all the others . We shall see in ...
... simple isomorphisms of R to itself can be obtained by transforming the identical isomorphism , we need to transform only one of the two constituent groups in any one such isomorphism in order to obtain all the others . We shall see in ...
Contents
CONTENTS OF VOL XLV | 1 |
F Brush on the Transmission of Radiant Heat | 31 |
Mr W H Macaulay on the Stresses and Deflection | 42 |
38 other sections not shown
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accuracy acid adjusted æther alternating currents aluminium amperes angle apparatus axis bars bulb calculated cathodic rays cell centim centre charge circuit cloud coil condenser constant cooling copper corresponding curve cylinder deflection deflexion determined disk distance effect electric electrification electrodes electrodynamometer electrolyte electrometer electromotive force equal equation error experiments film gases girder give given glass heat Hence hydrogen inductor integral intensity isomorphisms J. J. Thomson light lines Lord Kelvin Lord Rayleigh magnetic force means measured mercury metal method millimetre minute motion mutual inductances nearly negative observed obtained oxygen particle Phil plane plate platinum position potential pressure radius reflector resistance scale self-induction simple isomorphisms solution sphere spherometer subgroup substitutions surface temperature tensions thermometer thickness tube variation velocity verre dur vertical waves wire x-rays zero zinc