ON FINITE GROUPS WITH AN ABELIAN SYLOW GROUP,

Abstract

Consideration is given finite groups G of order g which satisfy the following condition: There exists a prime p dividing g such that if P is not equal to zero, is an element of a p-Sylow group P of G then the centralizer C(P) of P in G coincides with the centralizer C(P) of P in G. P is abelian.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1939
Accession Number
AD0428409

Entities

People

  • Henry S. Leonard Jr.
  • Richard Brauer

Organizations

  • Carnegie Institute of Technology

Tags

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Solar Photovoltaics and Thermoelectric Devices.