Group Theory and Computation by Unknown

Author:Unknown
Language: eng
Format: epub
ISBN: 9789811320477
Publisher: Springer Singapore

Conjecture

Suppose that is an indecomposable Majorana algebra in which for every there exists a pair of Majorana involutions and , such that the order of the product is i. Then embeds into the Monster algebra.

A proof of the Straight Flush Conjecture will place the Monster algebra as the universal object in the class of Majorana algebras. The universality of the Monster will bring about a conceptual explanation of its numerous mysterious properties and eventually will provide an efficient tool for recognizing its subgroups and for performing transparent calculations with its elements.

Currently, we foresee a number of specific accomplishable goals toward the proof of the Straight Flush Conjecture, which have indisputable independent importance. These goals constitute the essential steps in attacking the conjecture and they are outlined in Sect. 4 after a brief review of the Monster algebra and its two-generated subalgebras in the next section.

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