PreprintCC BY 4.0arXiv
Infinitely many finite simple groups of Lie type are not generated invariably by two elements of prime order
Abstract
We show that there are infinitely many k for which Sp_{2k}(2) is not generated invariably by two elements of prime order.
Related
- Algebraic Vector Fields of Connected Semi-simple Matrix Groups are 3-generated
- Systems of equations with elements of finitely generated groups and with linear recurrence sequences
- Every Nonrecursive Many-One Degree Contains Either One or Infinitely Many Finite-One Degrees
- Uncountably many local isomorphism types of compactly generated simple groups
- On simple extensions generated by key polynomials
BibTeX
@misc{guralnick2026infinitely,
title = {{Infinitely many finite simple groups of Lie type are not generated invariably by two elements of prime order}},
author = {Robert M. Guralnick and John Shareshian and Russ Woodroofe},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.31861},
eprint = {2609.31861},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.31861},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Infinitely many finite simple groups of Lie type are not generated invariably by two elements of prime order
AU - Robert M. Guralnick
AU - John Shareshian
AU - Russ Woodroofe
PY - 2026
DA - 2026/09/25
PB - arXiv
DO - 10.48550/arxiv.2609.31861
UR - https://arxiv.org/abs/2609.31861
AB - We show that there are infinitely many k for which Sp_{2k}(2) is not generated invariably by two elements of prime order.
ER -