Search results

...d by [[Max Dehn]] in 1911 as one of three fundamental decision problems in group theory; the other two being the [[Word problem for groups|word problem]] and the [ ...us | coauthors = Abraham Karrass, Donald Solitar | title = Combinatorial group theory. Presentations of groups in terms of generators and relations | publisher

In [[group theory]], a '''Sylow subgroup''' of a [[group (mathematics)|group]] is a [[subgrou * {{cite book | author=M. Aschbacher | title=Finite Group Theory | series=Cambridge studies in advanced mathematics | volume=10 | edition=2n

by László Babai in his paper ''Trading group theory for randomness''<ref>

{{r|Character (group theory)|Character}}

* {{cite book | author=Phillip A. Griffith | title=Infinite Abelian group theory | series=Chicago Lectures in Mathematics | publisher=University of Chicago

{{r|Group theory}}

{{r|Group theory}}

{{r|Group theory}}

In mathematics, a component of group theory in which the factors of a normal series are central, as against chief and c

{{r|Conjugation (group theory)}}

{{r|Series (group theory)}}, a chain of subgroups of a group. Special types include

{{r|Series (group theory)}}, a chain of subgroups of a group.

{{r|Group theory}} {{r|Order (group theory)}}

...m Magnus | coauthors=Abraham Karrass, Donald Solitar | title=Combinatorial Group Theory | edition=2nd revised edition | publisher=[[Dover Publications]] | date=197

We shall expound the concept in [[group theory]]: very similar remarks apply to [[module theory]]. Exactness can be used to unify several concepts in group theory. For example, the assertion that the sequence

...tion''' is a function on [[positive integer]]s which gives the [[exponent (group theory)|exponent]] of the [[multiplicative group]] modulo that integer.

{{r|Group theory}} {{r|Conjugation (group theory)}}

{{r|Order (group theory)}}

Key concepts are [[Field extension|field extensions]] and [[Group theory|groups]], which should be thoroughly understood before Galois theory can b

In [[group theory]], a '''subgroup''' of a [[group (mathematics)|group]] is a subset which is :'''Lagrange's Theorem''': In a finite group the [[order (group theory)|order]] of a subgroup multiplied by its index equals the order of the grou