✦ LIBER ✦
Which Words Spell “Almost Nilpotent?”
✍ Scribed by Sarah Black
- Book ID
- 102574379
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 159 KB
- Volume
- 221
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
A class of words is introduced with the property that a finite group satisfying an identity of length N defined by a member of this class is nilpotent-of-N-boundedclass-by-N-bounded-exponent. Conversely, we see that this class of words characterises such groups; a group which is nilpotent-of-class-c-by-exponent-at-most-c, satisfies an identity from this class whose length is c-bounded. Related results are discussed.