Bookcover of Periodic Group
Booktitle:

Periodic Group

Group (Mathematics), Finite Set, Group Theory

Vent (2012-04-06 )

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ISBN-13:

978-613-8-86162-1

ISBN-10:
6138861620
EAN:
9786138861621
Book language:
English
Blurb/Shorttext:
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In group theory, a periodic group or a torsion group is a group in which each element has finite order. All finite groups are periodic. The concept of a periodic group should not be confused with that of a cyclic group, although all finite cyclic groups are periodic. The exponent of a periodic group G is the least common multiple, if it exists, of the orders of the elements of G. Any finite group has an exponent: it is a divisor of |G|. Burnside's problem is a classical question, which deals with the relationship between periodic groups and finite groups, if we assume only that G is a finitely-generated group. The question is whether specifying an exponent forces finiteness (to which the answer is 'no', in general).
Publishing house:
Vent
Website:
http://www.betascript-publishing.com
Edited by:
Dagda Tanner Mattheus
Number of pages:
52
Published on:
2012-04-06
Stock:
Available
Category:
Mathematics
Price:
29.00 €
Keywords:
Mathematics, theory, Group, Finite, Set, Periodic

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