ON INVARIABLE GENERATION OF ALTERNATING GROUPS BY ELEMENTS OF PRIME AND PRIME POWER ORDER

Robert M. Guralnick; John Shareshian; Russ Woodroofe

doi:10.1090/MCOM/3807

ON INVARIABLE GENERATION OF ALTERNATING GROUPS BY ELEMENTS OF PRIME AND PRIME POWER ORDER

Robert M. Guralnick
, John Shareshian
, Russ Woodroofe

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We verify that every alternating group of degree at most one quadrillion is invariably generated by an element of prime order together with an element of prime power order.

Original language	English
Pages (from-to)	1349-1361
Number of pages	13
Journal	Mathematics of Computation
Volume	92
Issue number	341
DOIs	https://doi.org/10.1090/MCOM/3807
State	Published - 2023

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title = "ON INVARIABLE GENERATION OF ALTERNATING GROUPS BY ELEMENTS OF PRIME AND PRIME POWER ORDER",

abstract = "We verify that every alternating group of degree at most one quadrillion is invariably generated by an element of prime order together with an element of prime power order.",

author = "Guralnick, \{Robert M.\} and John Shareshian and Russ Woodroofe",

note = "Publisher Copyright: {\textcopyright} 2023 American Mathematical Society",

year = "2023",

doi = "10.1090/MCOM/3807",

language = "English",

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pages = "1349--1361",

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AU - Guralnick, Robert M.

AU - Shareshian, John

AU - Woodroofe, Russ

PY - 2023

Y1 - 2023

N2 - We verify that every alternating group of degree at most one quadrillion is invariably generated by an element of prime order together with an element of prime power order.

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UR - https://www.scopus.com/pages/publications/85150437258

U2 - 10.1090/MCOM/3807

DO - 10.1090/MCOM/3807

M3 - Article

AN - SCOPUS:85150437258

SN - 0025-5718

VL - 92

SP - 1349

EP - 1361

JO - Mathematics of Computation

JF - Mathematics of Computation

IS - 341

ER -

ON INVARIABLE GENERATION OF ALTERNATING GROUPS BY ELEMENTS OF PRIME AND PRIME POWER ORDER

Abstract

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