请输入您要查询的字词:

 

单词 Alternating Group
释义

Alternating Group

Even Permutation Groups which are Normal Subgroups of thePermutation Group of Order . They are Finite analogs of the families ofsimple Lie Groups. The lowest order alternating group is 60. Alternating groups with arenon-Abelian Simple Groups. The number of conjugacy classes in thealternating groups for , 3, ... are 1, 3, 4, 5, 7, 9, ... (Sloane's A000702).

See also 15 Puzzle, Finite Group, Group, Lie Group, Simple Group, Symmetric Group


References

Sloane, N. J. A. SequenceA000702/M2307in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.

Wilson, R. A. ``ATLAS of Finite Group Representation.''http://for.mat.bham.ac.uk/atlas/html/contents.html#alt.


随便看

 

数学辞典收录了8975条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2025/4/3 14:39:30