Tarski monster group
id:
tarski-monster-group-320-18196615
title:
Tarski monster group
text:
In the area of modern algebra known as group theory, a Tarski monster group, named for Alfred Tarski, is an infinite group G, such that every proper subgroup H of G, other than the identity subgroup, is a cyclic group of order a fixed prime number p. A Tarski monster group is necessarily simple. It was shown by Alexander Yu. Olshanskii in 1979 that Tarski groups exist, and that there is a Tarski p-group for every prime p > 1075. They are a source of counterexamples to conjectures in group theory
brand slug:
wiki
category slug:
encyclopedia
description:
Type of infinite group in group theory
original url:
https://en.wikipedia.org/wiki/Tarski_monster_group
date created:
date modified:
2024-03-26T02:53:32Z
main entity:
{"identifier":"Q7686763","url":"https://www.wikidata.org/entity/Q7686763"}
image:
fields total:
13
integrity:
14