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A Classification of Some Insoluble Varieties of Groups of Exponent Four

โœ Scribed by Martyn Quick

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
351 KB
Volume
197
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

We classify the subvarieties of the variety แ‘œ l แ‘Ÿ of all 4-Engel groups of 4 4

ลฝ exponent 4 which contain the proper subvariety defined by M. Quick J. London . Math. Soc., to appear , and from this we deduce a classification of all varieties of groups of exponent 4 which contain this subvariety. We also use the first classification to obtain a reduction for the finite basis problem for varieties of groups of exponent 4.

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## Abstract After the initial seminal works of Sophus Lie on ordinary differential equations, several important results on point symmetry group analysis of ordinary differential equations have been obtained. In this review, we present the salient features of point symmetry group classification of s