Groups of Order Pᵐ Which Contain Cyclic Subgroups of Order Pᵐ⁻ᶟ (Classic Reprint)

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Excerpt from Groups of Order Pᵐ Which Contain Cyclic Subgroups of Order Pᵐ⁻ᶟ Although in the present state of the theory, the actual tabulation of all groups of order p' is impracticable, it is of importance to carry the tabu lation as far as may be possible. In this paper all groups of order p' (1) being an odd prime) which contain cyclic subgroups of order gym - 3 and none of higher order are determined. The method of treatment used is entirely abstract in character and, in virtue of its nature, it is possible in each case to give explicitly the generational equations of these groups. They are divided into three classes, and it will be shown that these classes correspond to the three partitions (m 3, (m 3, 2, 1) and (m 3, 1, 1, of m. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.


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Details

Author(s)
Lewis Irving Neikirk
Format
Paperback | 68 pages
Dimensions
152 x 229 x 4mm | 104g
Publication date
01 Nov 2018
Publisher
Forgotten Books
Language
English
Illustrations note
70 Illustrations; Illustrations, black and white
ISBN10
1332944663
ISBN13
9781332944668
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