A NEW COMPUTER CONSTRUCTION OF THE IRREDUCIBLE 112-DIMENSIONAL 2-MODULAR REPRESENTATION OF JANKO'S GROUPJ4

DOI10.1081/AGB-100002132zbMath0991.20013MaRDI QIDQ2752400

Michael Weller, Gerhard O. Michler

Publication date: 4 September 2002

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

sporadic simple groupsfinite simple groupscomputational methodspermutation representationspermutation modulesSims-type algorithms

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Representations of sporadic groups (20C34)

Uses Software

• ATLAS Group Representations

Cites Work

• A new finite simple group of order 86,775,571,046,077,562,880 which possesses \(M_{24}\) and the full covering group of \(M_{22}\) as subgroups
• Constructing permutation representations for matrix groups
• Standard generators for sporadic simple groups
• Constructing j₄in gl (1333,11)
• Distance-transitive representations of the sporadic groups
• A new existence proof for \(Ly\), the sporadic simple group of R. Lyons
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A NEW COMPUTER CONSTRUCTION OF THE IRREDUCIBLE 112-DIMENSIONAL 2-MODULAR REPRESENTATION OF JANKO'S GROUPJ₄