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P-compact group : ウィキペディア英語版
P-compact group

In mathematics, in particular algebraic topology, a ''p''-compact group is (roughly speaking) a space that is a homotopical version of a compact Lie group, but with all the structure concentrated at a single prime ''p''. This concept was introduced by Dwyer and Wilkerson.〔W. G. Dwyer and C. W. Wilkerson, Homotopy fixed-point methods for Lie groups and finite loop spaces, Ann. of Math. (2) 139 (1994), no. 2, 395–442.〕 Subsequently the name homotopy Lie group has also been used.
==Examples==

Examples include the p-completion of a compact and connected Lie group, and the Sullivan spheres, i.e. the ''p''-completion of a sphere of dimension
:2''n'' − 1,
if ''n'' divides ''p'' − 1.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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