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Date: 2016-06-06 22:30:39 Group theory Algebra Abstract algebra Finite groups Sylow theorems Quasinormal subgroup P-group Nilpotent group Normal p-complement Normal subgroup Maximal subgroup Solvable group		✐ ✐ ✐ “BN11N23” — — 21:46 — page 359 — #1 Add to Reading List Source URL: w3.math.sinica.edu.tw Download Document from Source Website File Size: 156,59 KB Share Document on Facebook

	Theorems on groups of substitutions. By Mr. L. Sylow at Frederikshald in Norway. It is known that if the order of a group of substitutions is divisible by a prime number n, the group always contains a substitution [=elem DocID: 1uv6C - View Document
	THE SYLOW THEOREMS 1. Introduction The converse of Lagrange’s theorem is false: if G is a finite group and d \| \|G\|, then there may not be a subgroup of G with order d. The simplest example of this is the group A4 , of DocID: 1tUge - View Document
	CONSEQUENCES OF THE SYLOW THEOREMS KEITH CONRAD For a group theorist, Sylow’s Theorem is such a basic tool, and so fundamental, that it is used almost without thinking, like breathing. Geoff Robinson DocID: 1tSCp - View Document
	255 Documenta Math. Local Classes and Pairwise Mutually Permutable Products of Finite Groups DocID: 1rsJ2 - View Document
	✐ ✐ ✐ “BN11N23” — — 21:46 — page 359 — #1 DocID: 1rgt9 - View Document